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104931136 = 264139989
BaseRepresentation
bin1100100000100…
…01111101000000
321022110001110101
412100101331000
5203330244021
614225012144
72412620452
oct620217500
9238401411
10104931136
115425a352
122b184054
131897c13b
14dd162d2
15932aa91
hex6411f40

104931136 has 28 divisors (see below), whose sum is σ = 213306660. Its totient is φ = 51184640.

The previous prime is 104931133. The next prime is 104931181. The reversal of 104931136 is 631139401.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 94945536 = 3160^2 + 9744^2 .

It is a super-2 number, since 2×1049311362 = 22021086604500992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104931133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17371 + ... + 22618.

It is an arithmetic number, because the mean of its divisors is an integer number (7618095).

Almost surely, 2104931136 is an apocalyptic number.

104931136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104931136 is an abundant number, since it is smaller than the sum of its proper divisors (108375524).

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

104931136 is an equidigital number, since it uses as much as digits as its factorization.

104931136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40042 (or 40032 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 104931136 is about 10243.5899956997. The cubic root of 104931136 is about 471.6662391974. Note that the first 3 decimals are identical.

The spelling of 104931136 in words is "one hundred four million, nine hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 39989 79978 159956 319912 639824 1279648 1639549 2559296 3279098 6558196 13116392 26232784 52465568 104931136