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13693806 = 2337172131
BaseRepresentation
bin110100001111…
…001101101110
3221202201101000
4310033031232
512001200211
61205301130
7224252430
oct64171556
927681330
1013693806
1178033a5
1247047a6
132ab5c59
141b66650
151307656
hexd0f36e

13693806 has 64 divisors (see below), whose sum is σ = 36840960. Its totient is φ = 3680640.

The previous prime is 13693777. The next prime is 13693817. The reversal of 13693806 is 60839631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5361 + ... + 7491.

It is an arithmetic number, because the mean of its divisors is an integer number (575640).

Almost surely, 213693806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13693806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420480).

13693806 is an abundant number, since it is smaller than the sum of its proper divisors (23147154).

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

13693806 is a wasteful number, since it uses less digits than its factorization.

13693806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13693806 is about 3700.5142885821. The cubic root of 13693806 is about 239.2441847625.

The spelling of 13693806 in words is "thirteen million, six hundred ninety-three thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2131 2142 3213 4262 6393 6426 12786 14917 19179 29834 36227 38358 44751 57537 72454 89502 108681 115074 134253 217362 253589 268506 326043 402759 507178 652086 760767 805518 978129 1521534 1956258 2282301 4564602 6846903 13693806