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13876096 = 271331269
BaseRepresentation
bin110100111011…
…101110000000
3222002222102111
4310323232000
512023013341
61213225104
7225642043
oct64735600
928088374
1013876096
117918353
124792194
132b4ac10
141bb2c5a
151341681
hexd3bb80

13876096 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 6174720.

The previous prime is 13876069. The next prime is 13876103. The reversal of 13876096 is 69067831.

13876096 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51450 + ... + 51718.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 213876096 is an apocalyptic number.

13876096 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 13876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

13876096 is an abundant number, since it is smaller than the sum of its proper divisors (16968704).

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

13876096 is a wasteful number, since it uses less digits than its factorization.

13876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 13876096 is about 3725.0632209400. The cubic root of 13876096 is about 240.3011035595.

The spelling of 13876096 in words is "thirteen million, eight hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 269 403 416 496 538 806 832 992 1076 1612 1664 1984 2152 3224 3497 3968 4304 6448 6994 8339 8608 12896 13988 16678 17216 25792 27976 33356 34432 51584 55952 66712 108407 111904 133424 216814 223808 266848 433628 447616 533696 867256 1067392 1734512 3469024 6938048 13876096