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12956244 = 22371743211
BaseRepresentation
bin110001011011…
…001001010100
3220101020121220
4301123021110
511304044434
61141410340
7215061210
oct61331124
926336556
1012956244
11734a244
1244099b0
1328b8322
141a13940
15120dd49
hexc5b254

12956244 has 96 divisors (see below), whose sum is σ = 37610496. Its totient is φ = 3386880.

The previous prime is 12956191. The next prime is 12956249. The reversal of 12956244 is 44265921.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956249) 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, 61299 + ... + 61509.

It is an arithmetic number, because the mean of its divisors is an integer number (391776).

Almost surely, 212956244 is an apocalyptic number.

12956244 is a gapful number since it is divisible by the number (14) 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 12956244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805248).

12956244 is an abundant number, since it is smaller than the sum of its proper divisors (24654252).

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

12956244 is a wasteful number, since it uses less digits than its factorization.

12956244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 12956244 is about 3599.4782955312. The cubic root of 12956244 is about 234.8693645448.

The spelling of 12956244 in words is "twelve million, nine hundred fifty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 172 204 211 238 258 301 357 422 476 516 602 633 714 731 844 903 1204 1266 1428 1462 1477 1806 2193 2532 2924 2954 3587 3612 4386 4431 5117 5908 7174 8772 8862 9073 10234 10761 14348 15351 17724 18146 20468 21522 25109 27219 30702 36292 43044 50218 54438 61404 63511 75327 100436 108876 127022 150654 154241 190533 254044 301308 308482 381066 462723 616964 762132 925446 1079687 1850892 2159374 3239061 4318748 6478122 12956244