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13227264 = 28325741
BaseRepresentation
bin110010011101…
…010100000000
3220220000101200
4302131110000
511341233024
61151301200
7220300311
oct62352400
926800350
1013227264
117514926
12451a800
1329817ab
141a84608
1512642c9
hexc9d500

13227264 has 54 divisors (see below), whose sum is σ = 38144106. Its totient is φ = 4408320.

The previous prime is 13227251. The next prime is 13227281. The reversal of 13227264 is 46272231.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 1937664 = 3360^2 + 1392^2 .

It is a congruent number.

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, 567 + ... + 5174.

Almost surely, 213227264 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 13227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072053).

13227264 is an abundant number, since it is smaller than the sum of its proper divisors (24916842).

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

13227264 is an equidigital number, since it uses as much as digits as its factorization.

13227264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5746 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13227264 is about 3636.9305739868. The cubic root of 13227264 is about 236.4957499903.

Adding to 13227264 its reverse (46272231), we get a palindrome (59499495).

The spelling of 13227264 in words is "thirteen million, two hundred twenty-seven thousand, two hundred sixty-four".

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 5741 11482 17223 22964 34446 45928 51669 68892 91856 103338 137784 183712 206676 275568 367424 413352 551136 734848 826704 1102272 1469696 1653408 2204544 3306816 4409088 6613632 13227264