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12970944 = 263273217
BaseRepresentation
bin110001011110…
…101111000000
3220101222210100
4301132233000
511310032234
61142002400
7215152110
oct61365700
926358710
1012970944
11735a298
124416400
1328c1c1c
141a19040
151213399
hexc5ebc0

12970944 has 84 divisors (see below), whose sum is σ = 42503344. Its totient is φ = 3704832.

The previous prime is 12970943. The next prime is 12970961. The reversal of 12970944 is 44907921.

12970944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×129709442 = 336490776502272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12970899 and 12970908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12970943) 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, 2424 + ... + 5640.

Almost surely, 212970944 is an apocalyptic number.

12970944 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 12970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251672).

12970944 is an abundant number, since it is smaller than the sum of its proper divisors (29532400).

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

12970944 is a wasteful number, since it uses less digits than its factorization.

12970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12970944 is about 3601.5196792465. The cubic root of 12970944 is about 234.9581576325.

The spelling of 12970944 in words is "twelve million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3217 4032 6434 9651 12868 19302 22519 25736 28953 38604 45038 51472 57906 67557 77208 90076 102944 115812 135114 154416 180152 202671 205888 231624 270228 308832 360304 405342 463248 540456 617664 720608 810684 926496 1080912 1441216 1621368 1852992 2161824 3242736 4323648 6485472 12970944