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13685544 = 2333173727
BaseRepresentation
bin110100001101…
…001100101000
3221202022001000
4310031030220
512000414134
61205155000
7224216355
oct64151450
927668030
1013685544
1177a8174
1246bba60
132ab2272
141b6362c
151304e99
hexd0d328

13685544 has 64 divisors (see below), whose sum is σ = 40262400. Its totient is φ = 4292352.

The previous prime is 13685537. The next prime is 13685557. The reversal of 13685544 is 44558631.

It is a happy number.

13685544 is a `hidden beast` number, since 1 + 36 + 85 + 544 = 666.

It is a super-2 number, since 2×136855442 = 374588229151872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13685499 and 13685508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (629100).

Almost surely, 213685544 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 13685544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20131200).

13685544 is an abundant number, since it is smaller than the sum of its proper divisors (26576856).

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

13685544 is a wasteful number, since it uses less digits than its factorization.

13685544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3749 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 13685544 is about 3699.3977888300. The cubic root of 13685544 is about 239.1960600090.

The spelling of 13685544 in words is "thirteen million, six hundred eighty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 3727 7454 11181 14908 22362 29816 33543 44724 63359 67086 89448 100629 126718 134172 190077 201258 253436 268344 380154 402516 506872 570231 760308 805032 1140462 1520616 1710693 2280924 3421386 4561848 6842772 13685544