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16104256 = 267103349
BaseRepresentation
bin111101011011…
…101101000000
31010022011212221
4331123231000
513110314011
61333100424
7253612120
oct75335500
933264787
1016104256
1190aa403
125487714
13344b15c
1421d2c80
151631971
hexf5bb40

16104256 has 56 divisors (see below), whose sum is σ = 36982400. Its totient is φ = 6815232.

The previous prime is 16104239. The next prime is 16104259. The reversal of 16104256 is 65240161.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×161042562 = 518694122627072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16104256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16104259) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45970 + ... + 46318.

It is an arithmetic number, because the mean of its divisors is an integer number (660400).

Almost surely, 216104256 is an apocalyptic number.

16104256 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 16104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18491200).

16104256 is an abundant number, since it is smaller than the sum of its proper divisors (20878144).

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

16104256 is a wasteful number, since it uses less digits than its factorization.

16104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 16104256 is about 4013.0108397561. The cubic root of 16104256 is about 252.5303352111.

The spelling of 16104256 in words is "sixteen million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 349 412 448 698 721 824 1396 1442 1648 2443 2792 2884 3296 4886 5584 5768 6592 9772 11168 11536 19544 22336 23072 35947 39088 46144 71894 78176 143788 156352 251629 287576 503258 575152 1006516 1150304 2013032 2300608 4026064 8052128 16104256