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13688370 = 2325152093
BaseRepresentation
bin110100001101…
…111000110010
3221202102220200
4310031320302
512001011440
61205220030
7224230533
oct64157062
927672820
1013688370
1177aa303
124701616
132ab3637
141b6468a
151305c30
hexd0de32

13688370 has 24 divisors (see below), whose sum is σ = 35589996. Its totient is φ = 3650208.

The previous prime is 13688357. The next prime is 13688371. The reversal of 13688370 is 7388631.

13688370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13373649 + 314721 = 3657^2 + 561^2 .

It is not an unprimeable number, because it can be changed into a prime (13688371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75957 + ... + 76136.

Almost surely, 213688370 is an apocalyptic number.

13688370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13688370 is an abundant number, since it is smaller than the sum of its proper divisors (21901626).

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

13688370 is a wasteful number, since it uses less digits than its factorization.

13688370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152106 (or 152103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13688370 is about 3699.7797231727. The cubic root of 13688370 is about 239.2125231603.

The spelling of 13688370 in words is "thirteen million, six hundred eighty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 152093 304186 456279 760465 912558 1368837 1520930 2281395 2737674 4562790 6844185 13688370