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104992560 = 24325145823
BaseRepresentation
bin1100100001000…
…00111100110000
321022120011201100
412100200330300
5203334230220
614230204400
72413264521
oct620407460
9238504640
10104992560
11542a1512
122b1b3700
13189a109a
14dd30848
15933dd90
hex6420f30

104992560 has 60 divisors (see below), whose sum is σ = 352602432. Its totient is φ = 27997824.

The previous prime is 104992543. The next prime is 104992571. The reversal of 104992560 is 65299401.

104992560 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 92 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1049925602 = 22046875310707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 72192 + ... + 73631.

Almost surely, 2104992560 is an apocalyptic number.

104992560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104992560 is an abundant number, since it is smaller than the sum of its proper divisors (247609872).

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

104992560 is a wasteful number, since it uses less digits than its factorization.

104992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145842 (or 145833 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 104992560 is about 10246.5877247013. The cubic root of 104992560 is about 471.7582550246.

The spelling of 104992560 in words is "one hundred four million, nine hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 145823 291646 437469 583292 729115 874938 1166584 1312407 1458230 1749876 2187345 2333168 2624814 2916460 3499752 4374690 5249628 5832920 6562035 6999504 8749380 10499256 11665840 13124070 17498760 20998512 26248140 34997520 52496280 104992560