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13465296 = 2432137193
BaseRepresentation
bin110011010111…
…011011010000
3221100002220200
4303113123100
511421342141
61200335200
7222311265
oct63273320
927302820
1013465296
117667749
124614500
132a35c40
141b0726c
1512aeab6
hexcd76d0

13465296 has 60 divisors (see below), whose sum is σ = 40588548. Its totient is φ = 4142592.

The previous prime is 13465259. The next prime is 13465297. The reversal of 13465296 is 69256431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 12110400 = 1164^2 + 3480^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13465296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13465297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1725 + ... + 5468.

Almost surely, 213465296 is an apocalyptic number.

13465296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13465296 is an abundant number, since it is smaller than the sum of its proper divisors (27123252).

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

13465296 is a wasteful number, since it uses less digits than its factorization.

13465296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7211 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13465296 is about 3669.5089589753. The cubic root of 13465296 is about 237.9059487621.

The spelling of 13465296 in words is "thirteen million, four hundred sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 7193 14386 21579 28772 43158 57544 64737 86316 93509 115088 129474 172632 187018 258948 280527 345264 374036 517896 561054 748072 841581 1035792 1122108 1496144 1683162 2244216 3366324 4488432 6732648 13465296