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13663520 = 255136569
BaseRepresentation
bin110100000111…
…110100100000
3221201011211022
4310013310200
511444213040
61204505012
7224065223
oct64076440
927634738
1013663520
117792672
1246ab168
132aa5230
141b595ba
1512ed6b5
hexd07d20

13663520 has 48 divisors (see below), whose sum is σ = 34768440. Its totient is φ = 5044224.

The previous prime is 13663501. The next prime is 13663577. The reversal of 13663520 is 2536631.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 2347024 = 3364^2 + 1532^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13663520.

It is a congruent number.

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, 1205 + ... + 5364.

Almost surely, 213663520 is an apocalyptic number.

13663520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13663520 is an abundant number, since it is smaller than the sum of its proper divisors (21104920).

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

13663520 is a wasteful number, since it uses less digits than its factorization.

13663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 13663520 is about 3696.4198895688. The cubic root of 13663520 is about 239.0676792276.

The spelling of 13663520 in words is "thirteen million, six hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6569 13138 26276 32845 52552 65690 85397 105104 131380 170794 210208 262760 341588 426985 525520 683176 853970 1051040 1366352 1707940 2732704 3415880 6831760 13663520