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12974256 = 24354771
BaseRepresentation
bin110001011111…
…100010110000
3220102011100000
4301133202300
511310134011
61142030000
7215164551
oct61374260
926364300
1012974256
117361829
124418300
1328c3599
141a1a328
151214356
hexc5f8b0

12974256 has 120 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 4173120.

The previous prime is 12974251. The next prime is 12974257. The reversal of 12974256 is 65247921.

12974256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12974256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12974251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182701 + ... + 182771.

Almost surely, 212974256 is an apocalyptic number.

12974256 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 12974256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

12974256 is an abundant number, since it is smaller than the sum of its proper divisors (26023248).

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

12974256 is an equidigital number, since it uses as much as digits as its factorization.

12974256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12974256 is about 3601.9794557993. The cubic root of 12974256 is about 234.9781539976.

The spelling of 12974256 in words is "twelve million, nine hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 71 72 81 94 108 141 142 144 162 188 213 216 243 282 284 324 376 423 426 432 486 564 568 639 648 752 846 852 972 1128 1136 1269 1278 1296 1692 1704 1917 1944 2256 2538 2556 3337 3384 3408 3807 3834 3888 5076 5112 5751 6674 6768 7614 7668 10011 10152 10224 11421 11502 13348 15228 15336 17253 20022 20304 22842 23004 26696 30033 30456 30672 34506 40044 45684 46008 53392 60066 60912 69012 80088 90099 91368 92016 120132 138024 160176 180198 182736 240264 270297 276048 360396 480528 540594 720792 810891 1081188 1441584 1621782 2162376 3243564 4324752 6487128 12974256