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12944700 = 22325219757
BaseRepresentation
bin110001011000…
…010100111100
3220100122210100
4301120110330
511303212300
61141241100
7215012436
oct61302474
926318710
1012944700
1173415aa
124403190
1328b2cb2
141a0d656
15120a700
hexc5853c

12944700 has 108 divisors (see below), whose sum is σ = 42766360. Its totient is φ = 3265920.

The previous prime is 12944689. The next prime is 12944713. The reversal of 12944700 is 744921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16722 + ... + 17478.

Almost surely, 212944700 is an apocalyptic number.

12944700 is a gapful number since it is divisible by the number (10) 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 12944700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21383180).

12944700 is an abundant number, since it is smaller than the sum of its proper divisors (29821660).

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

12944700 is a wasteful number, since it uses less digits than its factorization.

12944700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12944700 is about 3597.8743724594. The cubic root of 12944700 is about 234.7995876968.

The spelling of 12944700 in words is "twelve million, nine hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 757 855 900 950 1140 1425 1514 1710 1900 2271 2850 3028 3420 3785 4275 4542 5700 6813 7570 8550 9084 11355 13626 14383 15140 17100 18925 22710 27252 28766 34065 37850 43149 45420 56775 57532 68130 71915 75700 86298 113550 129447 136260 143830 170325 172596 215745 227100 258894 287660 340650 359575 431490 517788 647235 681300 719150 862980 1078725 1294470 1438300 2157450 2588940 3236175 4314900 6472350 12944700