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104960160 = 2532572889
BaseRepresentation
bin1100100000110…
…01000010100000
321022111112021100
412100121002200
5203332211120
614225354400
72413101204
oct620310240
9238445240
10104960160
115427a138
122b198a00
131898c406
14dd22b04
159334490
hex64190a0

104960160 has 72 divisors (see below), whose sum is σ = 358181460. Its totient is φ = 27988992.

The previous prime is 104960153. The next prime is 104960179. The reversal of 104960160 is 61069401.

104960160 is a `hidden beast` number, since 10 + 49 + 601 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 3111696 = 10092^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1049601602 = 22033270374451200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35005 + ... + 37884.

Almost surely, 2104960160 is an apocalyptic number.

104960160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104960160 is an abundant number, since it is smaller than the sum of its proper divisors (253221300).

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

104960160 is a wasteful number, since it uses less digits than its factorization.

104960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72910 (or 72899 counting only the distinct ones).

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

The square root of 104960160 is about 10245.0065885777. The cubic root of 104960160 is about 471.7097228873.

The spelling of 104960160 in words is "one hundred four million, nine hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 72889 145778 218667 291556 364445 437334 583112 656001 728890 874668 1093335 1166224 1312002 1457780 1749336 2186670 2332448 2624004 2915560 3280005 3498672 4373340 5248008 5831120 6560010 6997344 8746680 10496016 11662240 13120020 17493360 20992032 26240040 34986720 52480080 104960160