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16324896 = 2537171429
BaseRepresentation
bin111110010001…
…100100100000
31010201101112210
4332101210200
513134344041
61341522120
7255521310
oct76214440
933641483
1016324896
119240155
125573340
1334c7703
14224d440
151677016
hexf91920

16324896 has 96 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 4386816.

The previous prime is 16324877. The next prime is 16324909. The reversal of 16324896 is 69842361.

It is a tau number, because it is divible by the number of its divisors (96).

16324896 is a modest number, since divided by 4896 gives 1632 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10710 + ... + 12138.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 216324896 is an apocalyptic number.

16324896 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 16324896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

16324896 is an abundant number, since it is smaller than the sum of its proper divisors (35566944).

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

16324896 is a wasteful number, since it uses less digits than its factorization.

16324896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1458 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 16324896 is about 4040.4079002002. The cubic root of 16324896 is about 253.6783909821.

The spelling of 16324896 in words is "sixteen million, three hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1429 1632 1904 2856 2858 3808 4287 5712 5716 8574 10003 11424 11432 17148 20006 22864 24293 30009 34296 40012 45728 48586 60018 68592 72879 80024 97172 120036 137184 145758 160048 170051 194344 240072 291516 320096 340102 388688 480144 510153 583032 680204 777376 960288 1020306 1166064 1360408 2040612 2332128 2720816 4081224 5441632 8162448 16324896