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13089924 = 2236672
BaseRepresentation
bin110001111011…
…110010000100
3220122001000000
4301323302010
511322334144
61144321300
7216156021
oct61736204
926561000
1013089924
117430721
124473230
132934123
141a4a548
151238769
hexc7bc84

13089924 has 63 divisors (see below), whose sum is σ = 34865607. Its totient is φ = 4298184.

The previous prime is 13089911. The next prime is 13089941. The reversal of 13089924 is 42998031.

The square root of 13089924 is 3618.

It is a perfect power (a square), and thus also a powerful number.

13089924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130899242 = 342692220651552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 195339 + ... + 195405.

Almost surely, 213089924 is an apocalyptic number.

13089924 is the 3618-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13089924

13089924 is an abundant number, since it is smaller than the sum of its proper divisors (21775683).

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

13089924 is an frugal number, since it uses more digits than its factorization.

13089924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 13089924 is about 235.6743809662.

Multiplying 13089924 by its sum of digits (36), we get a square (471237264 = 217082).

13089924 divided by its sum of digits (36) gives a square (363609 = 6032).

The spelling of 13089924 in words is "thirteen million, eighty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 603 729 804 972 1206 1458 1809 2412 2916 3618 4489 5427 7236 8978 10854 13467 16281 17956 21708 26934 32562 40401 48843 53868 65124 80802 97686 121203 161604 195372 242406 363609 484812 727218 1090827 1454436 2181654 3272481 4363308 6544962 13089924