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13073664 = 28329587
BaseRepresentation
bin110001110111…
…110100000000
3220121012200210
4301313310000
511321324124
61144114120
7216060432
oct61676400
926535623
1013073664
11741a48a
124465940
1329298c6
141a44652
151233a29
hexc77d00

13073664 has 72 divisors (see below), whose sum is σ = 36056160. Its totient is φ = 4200448.

The previous prime is 13073659. The next prime is 13073681. The reversal of 13073664 is 46637031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21979 + ... + 22565.

It is an arithmetic number, because the mean of its divisors is an integer number (500780).

Almost surely, 213073664 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 13073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028080).

13073664 is an abundant number, since it is smaller than the sum of its proper divisors (22982496).

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

13073664 is an equidigital number, since it uses as much as digits as its factorization.

13073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 13073664 is about 3615.7522038989. The cubic root of 13073664 is about 235.5767574497.

The spelling of 13073664 in words is "thirteen million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 587 696 768 928 1174 1392 1761 1856 2348 2784 3522 3712 4696 5568 7044 7424 9392 11136 14088 17023 18784 22272 28176 34046 37568 51069 56352 68092 75136 102138 112704 136184 150272 204276 225408 272368 408552 450816 544736 817104 1089472 1634208 2178944 3268416 4357888 6536832 13073664