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13656690 = 2325413701
BaseRepresentation
bin110100000110…
…001001110010
3221200211110100
4310012021302
511444003230
61204413230
7224036265
oct64061162
927624410
1013656690
117788523
1246a7216
132aa20a8
141b56cdc
1512eb660
hexd06272

13656690 has 48 divisors (see below), whose sum is σ = 36383256. Its totient is φ = 3552000.

The previous prime is 13656689. The next prime is 13656697. The reversal of 13656690 is 9665631.

13656690 is a `hidden beast` number, since 1 + 3 + 6 + 566 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6702921 + 6953769 = 2589^2 + 2637^2 .

It is a super-2 number, since 2×136566902 = 373010363512200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13656697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1840 + ... + 5540.

Almost surely, 213656690 is an apocalyptic number.

13656690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13656690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191628).

13656690 is an abundant number, since it is smaller than the sum of its proper divisors (22726566).

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

13656690 is a wasteful number, since it uses less digits than its factorization.

13656690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 13656690 is about 3695.4959071821. The cubic root of 13656690 is about 239.0278382400.

The spelling of 13656690 in words is "thirteen million, six hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 3701 7402 11103 18505 22206 33309 37010 55515 66618 111030 151741 166545 303482 333090 455223 758705 910446 1365669 1517410 2276115 2731338 4552230 6828345 13656690