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13386752 = 21017769
BaseRepresentation
bin110011000100…
…010000000000
3221012010011122
4303010100000
511411334002
61154531412
7221533301
oct63042000
927163148
1013386752
117613735
124596b68
132a09272
141ac67a8
1512966a2
hexcc4400

13386752 has 44 divisors (see below), whose sum is σ = 28371420. Its totient is φ = 6291456.

The previous prime is 13386733. The next prime is 13386767. The reversal of 13386752 is 25768331.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 5456896 = 2816^2 + 2336^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17024 + ... + 17792.

It is an arithmetic number, because the mean of its divisors is an integer number (644805).

Almost surely, 213386752 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 13386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185710).

13386752 is an abundant number, since it is smaller than the sum of its proper divisors (14984668).

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

13386752 is an equidigital number, since it uses as much as digits as its factorization.

13386752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 788 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 13386752 is about 3658.7910571663. The cubic root of 13386752 is about 237.4424724933.

The spelling of 13386752 in words is "thirteen million, three hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 769 1024 1088 1538 2176 3076 4352 6152 8704 12304 13073 17408 24608 26146 49216 52292 98432 104584 196864 209168 393728 418336 787456 836672 1673344 3346688 6693376 13386752