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12953226 = 23111331487
BaseRepresentation
bin110001011010…
…011010001010
3220101002111010
4301122122022
511304000401
61141344350
7215046336
oct61323212
926332433
1012953226
117347a50
1244080b6
1328b6b40
141a127c6
15120ced6
hexc5a68a

12953226 has 64 divisors (see below), whose sum is σ = 31481856. Its totient is φ = 3499200.

The previous prime is 12953221. The next prime is 12953243. The reversal of 12953226 is 62235921.

It is a junction number, because it is equal to n+sod(n) for n = 12953193 and 12953202.

It is not an unprimeable number, because it can be changed into a prime (12953221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26355 + ... + 26841.

It is an arithmetic number, because the mean of its divisors is an integer number (491904).

Almost surely, 212953226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12953226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740928).

12953226 is an abundant number, since it is smaller than the sum of its proper divisors (18528630).

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

12953226 is a wasteful number, since it uses less digits than its factorization.

12953226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547.

The product of its digits is 6480, while the sum is 30.

The square root of 12953226 is about 3599.0590436946. The cubic root of 12953226 is about 234.8511264714.

The spelling of 12953226 in words is "twelve million, nine hundred fifty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 487 682 806 858 974 1023 1209 1461 2046 2418 2922 4433 5357 6331 8866 10714 12662 13299 15097 16071 18993 26598 30194 32142 37986 45291 69641 90582 139282 166067 196261 208923 332134 392522 417846 498201 588783 996402 1177566 2158871 4317742 6476613 12953226