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13309376 = 262971101
BaseRepresentation
bin110010110001…
…010111000000
3221001012000212
4302301113000
511401400001
61153133252
7221061563
oct62612700
927035025
1013309376
117570593
12455a228
1329acc92
141aa64da
15127d7bb
hexcb15c0

13309376 has 56 divisors (see below), whose sum is σ = 27980640. Its totient is φ = 6272000.

The previous prime is 13309369. The next prime is 13309393. The reversal of 13309376 is 67390331.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 131726 + ... + 131826.

Almost surely, 213309376 is an apocalyptic number.

13309376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320).

13309376 is an abundant number, since it is smaller than the sum of its proper divisors (14671264).

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

13309376 is a wasteful number, since it uses less digits than its factorization.

13309376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 32.

The square root of 13309376 is about 3648.2017488072. The cubic root of 13309376 is about 236.9841123546.

The spelling of 13309376 in words is "thirteen million, three hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 71 101 116 142 202 232 284 404 464 568 808 928 1136 1616 1856 2059 2272 2929 3232 4118 4544 5858 6464 7171 8236 11716 14342 16472 23432 28684 32944 46864 57368 65888 93728 114736 131776 187456 207959 229472 415918 458944 831836 1663672 3327344 6654688 13309376