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104160960 = 2632559613
BaseRepresentation
bin1100011010101…
…01111011000000
321020222220222100
412031111323000
5203131122320
614200310400
72403232161
oct615257300
9236886870
10104160960
1153883742
122aa72400
131876c707
14db95768
159227790
hex6355ec0

104160960 has 168 divisors, whose sum is σ = 364937040. Its totient is φ = 27260928.

The previous prime is 104160943. The next prime is 104161003. The reversal of 104160960 is 69061401.

104160960 is a `hidden beast` number, since 10 + 41 + 609 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169614 + ... + 170226.

Almost surely, 2104160960 is an apocalyptic number.

104160960 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 104160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182468520).

104160960 is an abundant number, since it is smaller than the sum of its proper divisors (260776080).

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

104160960 is a wasteful number, since it uses less digits than its factorization.

104160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104160960 is about 10205.9276893382. The cubic root of 104160960 is about 470.5094219973.

It can be divided in two parts, 1041 and 60960, that added together give a square (62001 = 2492).

The spelling of 104160960 in words is "one hundred four million, one hundred sixty thousand, nine hundred sixty".