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13295376 = 2432127727
BaseRepresentation
bin110010101101…
…111100010000
3221000110211100
4302231330100
511400423001
61152544400
7221003013
oct62557420
927013740
1013295376
117561016
124552100
1329a67b3
141aa137a
151279586
hexcadf10

13295376 has 60 divisors (see below), whose sum is σ = 37553152. Its totient is φ = 4390848.

The previous prime is 13295353. The next prime is 13295393. The reversal of 13295376 is 67359231.

13295376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13295376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17925 + ... + 18651.

Almost surely, 213295376 is an apocalyptic number.

13295376 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 13295376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776576).

13295376 is an abundant number, since it is smaller than the sum of its proper divisors (24257776).

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

13295376 is a wasteful number, since it uses less digits than its factorization.

13295376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 859 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13295376 is about 3646.2824904278. The cubic root of 13295376 is about 236.9009894602.

The spelling of 13295376 in words is "thirteen million, two hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 727 762 1016 1143 1454 1524 2032 2181 2286 2908 3048 4362 4572 5816 6096 6543 8724 9144 11632 13086 17448 18288 26172 34896 52344 92329 104688 184658 276987 369316 553974 738632 830961 1107948 1477264 1661922 2215896 3323844 4431792 6647688 13295376