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81300618 = 2337375813
BaseRepresentation
bin1001101100010…
…00110010001010
312122222111111000
410312020302022
5131303104433
612022315430
72005021020
oct466106212
9178874430
1081300618
114198a3a3
1223288b76
1313ac7399
14ab24710
15720e113
hex4d88c8a

81300618 has 64 divisors (see below), whose sum is σ = 212094720. Its totient is φ = 22597056.

The previous prime is 81300533. The next prime is 81300623. The reversal of 81300618 is 81600318.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 81300591 and 81300600.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11080 + ... + 16892.

It is an arithmetic number, because the mean of its divisors is an integer number (3313980).

Almost surely, 281300618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81300618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106047360).

81300618 is an abundant number, since it is smaller than the sum of its proper divisors (130794102).

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

81300618 is a wasteful number, since it uses less digits than its factorization.

81300618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 81300618 is about 9016.6855329439. The cubic root of 81300618 is about 433.2094771601.

It can be divided in two parts, 81300 and 618, that added together give a palindrome (81918).

The spelling of 81300618 in words is "eighty-one million, three hundred thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 5813 6993 11626 13986 17439 34878 40691 52317 81382 104634 122073 156951 215081 244146 313902 366219 430162 645243 732438 1098657 1290486 1505567 1935729 2197314 3011134 3871458 4516701 5807187 9033402 11614374 13550103 27100206 40650309 81300618