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12700944 = 2432193457
BaseRepresentation
bin110000011100…
…110100010000
3212220021102100
4300130310100
511222412234
61132120400
7212645664
oct60346420
925807370
1012700944
117195453
124306100
132829069
1419888a4
1511ad399
hexc1cd10

12700944 has 60 divisors (see below), whose sum is σ = 35807356. Its totient is φ = 4202496.

The previous prime is 12700943. The next prime is 12700967. The reversal of 12700944 is 44900721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 5475600 = 2688^2 + 2340^2 .

It is a super-2 number, since 2×127009442 = 322627956982272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12700943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27564 + ... + 28020.

Almost surely, 212700944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12700944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903678).

12700944 is an abundant number, since it is smaller than the sum of its proper divisors (23106412).

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

12700944 is a wasteful number, since it uses less digits than its factorization.

12700944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

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

The square root of 12700944 is about 3563.8383801738. The cubic root of 12700944 is about 233.3164359646.

The spelling of 12700944 in words is "twelve million, seven hundred thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 457 579 772 914 1158 1371 1544 1737 1828 2316 2742 3088 3474 3656 4113 4632 5484 6948 7312 8226 9264 10968 13896 16452 21936 27792 32904 65808 88201 176402 264603 352804 529206 705608 793809 1058412 1411216 1587618 2116824 3175236 4233648 6350472 12700944