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13409664 = 27347743
BaseRepresentation
bin110011001001…
…110110000000
3221020021121020
4303021312000
511413102124
61155225440
7221660142
oct63116600
927207536
1013409664
117629974
1245a8280
132a16818
141ad0c92
15129d379
hexcc9d80

13409664 has 64 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 4368896.

The previous prime is 13409657. The next prime is 13409681. The reversal of 13409664 is 46690431.

It is a tau number, because it is divible by the number of its divisors (64).

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, 17677 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 213409664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

13409664 is an abundant number, since it is smaller than the sum of its proper divisors (23016576).

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

13409664 is an equidigital number, since it uses as much as digits as its factorization.

13409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13409664 is about 3661.9208074452. The cubic root of 13409664 is about 237.5778596064.

The spelling of 13409664 in words is "thirteen million, four hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 743 752 1128 1486 1504 2229 2256 2972 3008 4458 4512 5944 6016 8916 9024 11888 17832 18048 23776 34921 35664 47552 69842 71328 95104 104763 139684 142656 209526 279368 285312 419052 558736 838104 1117472 1676208 2234944 3352416 4469888 6704832 13409664