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13360896 = 28331933
BaseRepresentation
bin110010111101…
…111100000000
3221010210201000
4302331330000
511410022041
61154212000
7221365023
oct62757400
927123630
1013360896
1175a626a
124584000
1329ca573
141abb1ba
15128dbb6
hexcbdf00

13360896 has 72 divisors (see below), whose sum is σ = 39530960. Its totient is φ = 4451328.

The previous prime is 13360889. The next prime is 13360901. The reversal of 13360896 is 69806331.

It is a happy number.

13360896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 13360896.

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, 5946 + ... + 7878.

Almost surely, 213360896 is an apocalyptic number.

13360896 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 13360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765480).

13360896 is an abundant number, since it is smaller than the sum of its proper divisors (26170064).

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

13360896 is an equidigital number, since it uses as much as digits as its factorization.

13360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13360896 is about 3655.2559417912. The cubic root of 13360896 is about 237.2895036121.

The spelling of 13360896 in words is "thirteen million, three hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 1933 2304 3456 3866 5799 6912 7732 11598 15464 17397 23196 30928 34794 46392 52191 61856 69588 92784 104382 123712 139176 185568 208764 247424 278352 371136 417528 494848 556704 742272 835056 1113408 1484544 1670112 2226816 3340224 4453632 6680448 13360896