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5307815304 = 2334113672029
BaseRepresentation
bin1001111000101111…
…01101010110001000
3111200220120221210000
410330113231112020
541332300042204
62234404523000
7245350454121
oct47427552610
914626527700
105307815304
11228413a220
1210416b0460
13667864a1c
14384d0b048
15210eab039
hex13c5ed588

5307815304 has 160 divisors (see below), whose sum is σ = 16270531200. Its totient is φ = 1603255680.

The previous prime is 5307815287. The next prime is 5307815309. The reversal of 5307815304 is 4035187035.

5307815304 is a `hidden beast` number, since 53 + 0 + 78 + 1 + 530 + 4 = 666.

It is a super-2 number, since 2×53078153042 = 56345806602753224832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5307815309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2614962 + ... + 2616990.

It is an arithmetic number, because the mean of its divisors is an integer number (101690820).

Almost surely, 25307815304 is an apocalyptic number.

5307815304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5307815304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135265600).

5307815304 is an abundant number, since it is smaller than the sum of its proper divisors (10962715896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5307815304 is a wasteful number, since it uses less digits than its factorization.

5307815304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5307815304 is about 72854.7548482596. The cubic root of 5307815304 is about 1744.3699669965.

The spelling of 5307815304 in words is "five billion, three hundred seven million, eight hundred fifteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 367 396 594 648 734 792 891 1101 1188 1468 1782 2029 2202 2376 2936 3303 3564 4037 4058 4404 6087 6606 7128 8074 8116 8808 9909 12111 12174 13212 16148 16232 18261 19818 22319 24222 24348 26424 29727 32296 36333 36522 39636 44638 48444 48696 54783 59454 66957 72666 73044 79272 89276 96888 108999 109566 118908 133914 145332 146088 164349 178552 200871 217998 219132 237816 267828 290664 326997 328698 401742 435996 438264 535656 602613 653994 657396 744643 803484 871992 1205226 1307988 1314792 1489286 1606968 1807839 2233929 2410452 2615976 2978572 3615678 4467858 4820904 5957144 6701787 7231356 8191073 8935716 13403574 14462712 16382146 17871432 20105361 24573219 26807148 32764292 40210722 49146438 53614296 60316083 65528584 73719657 80421444 98292876 120632166 147439314 160842888 196585752 221158971 241264332 294878628 442317942 482528664 589757256 663476913 884635884 1326953826 1769271768 2653907652 5307815304