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16104672 = 2532199281
BaseRepresentation
bin111101011011…
…110011100000
31010022012110100
4331123303200
513110322142
61333102400
7253613253
oct75336340
933265410
1016104672
1190aa751
125487a00
13344b3bc
1421d309a
151631b4c
hexf5bce0

16104672 has 72 divisors (see below), whose sum is σ = 46191600. Its totient is φ = 5322240.

The previous prime is 16104667. The next prime is 16104689. The reversal of 16104672 is 27640161.

16104672 is a `hidden beast` number, since 1 + 610 + 46 + 7 + 2 = 666.

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

It is a congruent number.

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, 57172 + ... + 57452.

It is an arithmetic number, because the mean of its divisors is an integer number (641550).

Almost surely, 216104672 is an apocalyptic number.

16104672 is a gapful number since it is divisible by the number (12) 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 16104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23095800).

16104672 is an abundant number, since it is smaller than the sum of its proper divisors (30086928).

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

16104672 is a wasteful number, since it uses less digits than its factorization.

16104672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 16104672 is about 4013.0626708289. The cubic root of 16104672 is about 252.5325096200.

The spelling of 16104672 in words is "sixteen million, one hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 281 288 398 562 597 796 843 1124 1194 1592 1686 1791 2248 2388 2529 3184 3372 3582 4496 4776 5058 6368 6744 7164 8992 9552 10116 13488 14328 19104 20232 26976 28656 40464 55919 57312 80928 111838 167757 223676 335514 447352 503271 671028 894704 1006542 1342056 1789408 2013084 2684112 4026168 5368224 8052336 16104672