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13000240 = 2451121779
BaseRepresentation
bin110001100101…
…111000110000
3220110110222101
4301211320300
511312001430
61142350144
7215333401
oct61457060
926413871
1013000240
11737a300
12442b354
132902366
141a259a8
15121bdca
hexc65e30

13000240 has 120 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4392960.

The previous prime is 13000219. The next prime is 13000243. The reversal of 13000240 is 4200031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13000243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164521 + ... + 164599.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 213000240 is an apocalyptic number.

13000240 is a gapful number since it is divisible by the number (10) 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 13000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13000240 is an abundant number, since it is smaller than the sum of its proper divisors (22622480).

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

13000240 is a wasteful number, since it uses less digits than its factorization.

13000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13000240 is about 3605.5845573222. The cubic root of 13000240 is about 235.1349157384.

Adding to 13000240 its reverse (4200031), we get a palindrome (17200271).

The spelling of 13000240 in words is "thirteen million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 79 80 85 88 110 121 136 158 170 176 187 220 242 272 316 340 374 395 440 484 605 632 680 748 790 869 880 935 968 1210 1264 1343 1360 1496 1580 1738 1870 1936 2057 2420 2686 2992 3160 3476 3740 4114 4345 4840 5372 6320 6715 6952 7480 8228 8690 9559 9680 10285 10744 13430 13904 14773 14960 16456 17380 19118 20570 21488 26860 29546 32912 34760 38236 41140 47795 53720 59092 69520 73865 76472 82280 95590 107440 118184 147730 152944 162503 164560 191180 236368 295460 325006 382360 590920 650012 764720 812515 1181840 1300024 1625030 2600048 3250060 6500120 13000240