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13879296 = 21133251
BaseRepresentation
bin110100111100…
…100000000000
3222010010211000
4310330200000
512023114141
61213252000
7225654264
oct64744000
928103730
1013879296
11791a7a2
124794000
132b4c502
141bb40a4
1513425b6
hexd3c800

13879296 has 96 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 4608000.

The previous prime is 13879277. The next prime is 13879301. The reversal of 13879296 is 69297831.

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

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, 55171 + ... + 55421.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 213879296 is an apocalyptic number.

13879296 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 13879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

13879296 is an abundant number, since it is smaller than the sum of its proper divisors (27398304).

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

13879296 is an equidigital number, since it uses as much as digits as its factorization.

13879296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 13879296 is about 3725.4927190910. The cubic root of 13879296 is about 240.3195742790.

The spelling of 13879296 in words is "thirteen million, eight hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 251 256 288 384 432 502 512 576 753 768 864 1004 1024 1152 1506 1536 1728 2008 2048 2259 2304 3012 3072 3456 4016 4518 4608 6024 6144 6777 6912 8032 9036 9216 12048 13554 13824 16064 18072 18432 24096 27108 27648 32128 36144 48192 54216 55296 64256 72288 96384 108432 128512 144576 192768 216864 257024 289152 385536 433728 514048 578304 771072 867456 1156608 1542144 1734912 2313216 3469824 4626432 6939648 13879296