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13993888 = 256167107
BaseRepresentation
bin110101011000…
…011110100000
3222022222000011
4311120132200
512040301023
61215534304
7226642336
oct65303640
928288004
1013993888
1179988a7
12482a394
132b8c70c
141c03b56
15136650d
hexd587a0

13993888 has 48 divisors (see below), whose sum is σ = 28685664. Its totient is φ = 6716160.

The previous prime is 13993849. The next prime is 13993891. The reversal of 13993888 is 88839931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130731 + ... + 130837.

It is an arithmetic number, because the mean of its divisors is an integer number (597618).

Almost surely, 213993888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13993888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832).

13993888 is an abundant number, since it is smaller than the sum of its proper divisors (14691776).

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

13993888 is a wasteful number, since it uses less digits than its factorization.

13993888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its digits is 373248, while the sum is 49.

The square root of 13993888 is about 3740.8405472567. The cubic root of 13993888 is about 240.9791480039.

The spelling of 13993888 in words is "thirteen million, nine hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 61 67 107 122 134 214 244 268 428 488 536 856 976 1072 1712 1952 2144 3424 4087 6527 7169 8174 13054 14338 16348 26108 28676 32696 52216 57352 65392 104432 114704 130784 208864 229408 437309 874618 1749236 3498472 6996944 13993888