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13214256 = 2431129863
BaseRepresentation
bin110010011010…
…001000110000
3220212100112220
4302122020300
511340324011
61151121040
7220214346
oct62321060
926770486
1013214256
117506080
124513180
1329788b3
141a7d996
151260506
hexc9a230

13214256 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3861760.

The previous prime is 13214249. The next prime is 13214261. The reversal of 13214256 is 65241231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14881 + ... + 15743.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 213214256 is an apocalyptic number.

13214256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

13214256 is an abundant number, since it is smaller than the sum of its proper divisors (25354704).

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

13214256 is a wasteful number, since it uses less digits than its factorization.

13214256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 13214256 is about 3635.1418129146. The cubic root of 13214256 is about 236.4181994171.

Adding to 13214256 its reverse (65241231), we get a palindrome (78455487).

The spelling of 13214256 in words is "thirteen million, two hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 863 957 1276 1392 1726 1914 2552 2589 3452 3828 5104 5178 6904 7656 9493 10356 13808 15312 18986 20712 25027 28479 37972 41424 50054 56958 75081 75944 100108 113916 150162 151888 200216 227832 275297 300324 400432 455664 550594 600648 825891 1101188 1201296 1651782 2202376 3303564 4404752 6607128 13214256