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13401888 = 2531371019
BaseRepresentation
bin110011000111…
…111100100000
3221012212221020
4303013330200
511412330023
61155125440
7221625363
oct63077440
927185836
1013401888
117624045
1245a3880
132a13116
141acc0da
15129ade3
hexcc7f20

13401888 has 48 divisors (see below), whose sum is σ = 35471520. Its totient is φ = 4430336.

The previous prime is 13401863. The next prime is 13401907. The reversal of 13401888 is 88810431.

It is a happy number.

13401888 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 (48).

It is a super-2 number, since 2×134018882 = 359221203929088, which contains 22 as substring.

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, 12643 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (738990).

Almost surely, 213401888 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 13401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735760).

13401888 is an abundant number, since it is smaller than the sum of its proper divisors (22069632).

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

13401888 is a wasteful number, since it uses less digits than its factorization.

13401888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 13401888 is about 3660.8589156098. The cubic root of 13401888 is about 237.5319284868.

The spelling of 13401888 in words is "thirteen million, four hundred one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1019 1096 1644 2038 2192 3057 3288 4076 4384 6114 6576 8152 12228 13152 16304 24456 32608 48912 97824 139603 279206 418809 558412 837618 1116824 1675236 2233648 3350472 4467296 6700944 13401888