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13289664 = 263193643
BaseRepresentation
bin110010101100…
…100011000000
3221000011222210
4302230203000
511400232124
61152502120
7220650243
oct62544300
927004883
1013289664
1175577a3
12454a940
1329a400b
141a9d25a
151277a29
hexcac8c0

13289664 has 56 divisors (see below), whose sum is σ = 37023040. Its totient is φ = 4195584.

The previous prime is 13289663. The next prime is 13289671. The reversal of 13289664 is 46698231.

It is not an unprimeable number, because it can be changed into a prime (13289663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1827 + ... + 5469.

Almost surely, 213289664 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 13289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511520).

13289664 is an abundant number, since it is smaller than the sum of its proper divisors (23733376).

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

13289664 is a wasteful number, since it uses less digits than its factorization.

13289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3667 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 13289664 is about 3645.4991427787. The cubic root of 13289664 is about 236.8670585587.

The spelling of 13289664 in words is "thirteen million, two hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3643 3648 7286 10929 14572 21858 29144 43716 58288 69217 87432 116576 138434 174864 207651 233152 276868 349728 415302 553736 699456 830604 1107472 1661208 2214944 3322416 4429888 6644832 13289664