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12730944 = 263611087
BaseRepresentation
bin110000100100…
…001001000000
3212221210120110
4300210021000
511224342234
61132511320
7213132312
oct60441100
925853513
1012730944
117205a46
12431b540
132839905
1419957b2
1511b71e9
hexc24240

12730944 has 56 divisors (see below), whose sum is σ = 34267648. Its totient is φ = 4170240.

The previous prime is 12730933. The next prime is 12730957. The reversal of 12730944 is 44903721.

It is a happy number.

It is a super-2 number, since 2×127309442 = 324153870262272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11169 + ... + 12255.

Almost surely, 212730944 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 12730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133824).

12730944 is an abundant number, since it is smaller than the sum of its proper divisors (21536704).

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

12730944 is a wasteful number, since it uses less digits than its factorization.

12730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 12730944 is about 3568.0448427675. The cubic root of 12730944 is about 233.4999915936.

The spelling of 12730944 in words is "twelve million, seven hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1087 1464 1952 2174 2928 3261 3904 4348 5856 6522 8696 11712 13044 17392 26088 34784 52176 66307 69568 104352 132614 198921 208704 265228 397842 530456 795684 1060912 1591368 2121824 3182736 4243648 6365472 12730944