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13683456 = 28325939
BaseRepresentation
bin110100001100…
…101100000000
3221202012011200
4310030230000
512000332311
61205141200
7224210313
oct64145400
927665150
1013683456
1177a6646
1246ba800
132ab1327
141b6297a
151304556
hexd0cb00

13683456 has 54 divisors (see below), whose sum is σ = 39459420. Its totient is φ = 4560384.

The previous prime is 13683443. The next prime is 13683473. The reversal of 13683456 is 65438631.

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 13683456.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (730730).

Almost surely, 213683456 is an apocalyptic number.

13683456 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 13683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729710).

13683456 is an abundant number, since it is smaller than the sum of its proper divisors (25775964).

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

13683456 is an equidigital number, since it uses as much as digits as its factorization.

13683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961 (or 5944 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 13683456 is about 3699.1155699707. The cubic root of 13683456 is about 239.1838946961.

The spelling of 13683456 in words is "thirteen million, six hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5939 11878 17817 23756 35634 47512 53451 71268 95024 106902 142536 190048 213804 285072 380096 427608 570144 760192 855216 1140288 1520384 1710432 2280576 3420864 4561152 6841728 13683456