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104379136 = 282811451
BaseRepresentation
bin1100011100010…
…11001100000000
321021102000020221
412032023030000
5203210113021
614205112424
72405131231
oct616131400
9237360227
10104379136
1153a12654
122ab58714
1318817b04
14dc11088
15926c241
hex638b300

104379136 has 36 divisors (see below), whose sum is σ = 209236104. Its totient is φ = 51968000.

The previous prime is 104379127. The next prime is 104379181. The reversal of 104379136 is 631973401.

It is a super-3 number, since 3×1043791363 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71211 + ... + 72661.

It is an arithmetic number, because the mean of its divisors is an integer number (5812114).

Almost surely, 2104379136 is an apocalyptic number.

104379136 is a gapful number since it is divisible by the number (16) 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 104379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104618052).

104379136 is an abundant number, since it is smaller than the sum of its proper divisors (104856968).

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

104379136 is an equidigital number, since it uses as much as digits as its factorization.

104379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 104379136 is about 10216.6107883192. The cubic root of 104379136 is about 470.8377032582.

The spelling of 104379136 in words is "one hundred four million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 281 562 1124 1451 2248 2902 4496 5804 8992 11608 17984 23216 35968 46432 71936 92864 185728 371456 407731 815462 1630924 3261848 6523696 13047392 26094784 52189568 104379136