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16296896 = 267113307
BaseRepresentation
bin111110001010…
…101111000000
31010122222010202
4332022233000
513133000041
61341144332
7255343550
oct76125700
933588122
1016296896
119221110
12555b0a8
1334b7a45
142243160
15166da9b
hexf8abc0

16296896 has 56 divisors (see below), whose sum is σ = 40331136. Its totient is φ = 6347520.

The previous prime is 16296893. The next prime is 16296901. The reversal of 16296896 is 69869261.

16296896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 16296896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16296893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3275 + ... + 6581.

Almost surely, 216296896 is an apocalyptic number.

16296896 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 16296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165568).

16296896 is an abundant number, since it is smaller than the sum of its proper divisors (24034240).

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

16296896 is a wasteful number, since it uses less digits than its factorization.

16296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3327 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 16296896 is about 4036.9414164687. The cubic root of 16296896 is about 253.5332739826.

The spelling of 16296896 in words is "sixteen million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 3307 4928 6614 13228 23149 26456 36377 46298 52912 72754 92596 105824 145508 185192 211648 254639 291016 370384 509278 582032 740768 1018556 1164064 1481536 2037112 2328128 4074224 8148448 16296896