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12940704 = 253273131
BaseRepresentation
bin110001010111…
…010110100000
3220100110022100
4301113112200
511303100304
61141210400
7214665000
oct61272640
926313270
1012940704
1173395a7
124400a00
1328b122a
141a0c000
151209439
hexc575a0

12940704 has 144 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3669120.

The previous prime is 12940703. The next prime is 12940717. The reversal of 12940704 is 40704921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12940703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 98719 + ... + 98849.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 212940704 is an apocalyptic number.

12940704 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 12940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

12940704 is an abundant number, since it is smaller than the sum of its proper divisors (30302496).

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

12940704 is a wasteful number, since it uses less digits than its factorization.

12940704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

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

The square root of 12940704 is about 3597.3190017011. The cubic root of 12940704 is about 234.7754245073.

The spelling of 12940704 in words is "twelve million, nine hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 131 144 147 168 196 224 252 262 288 294 336 343 392 393 441 504 524 588 672 686 784 786 882 917 1008 1029 1048 1176 1179 1372 1568 1572 1764 1834 2016 2058 2096 2352 2358 2744 2751 3087 3144 3528 3668 4116 4192 4704 4716 5488 5502 6174 6288 6419 7056 7336 8232 8253 9432 10976 11004 12348 12576 12838 14112 14672 16464 16506 18864 19257 22008 24696 25676 29344 32928 33012 37728 38514 44016 44933 49392 51352 57771 66024 77028 88032 89866 98784 102704 115542 132048 134799 154056 179732 205408 231084 264096 269598 308112 359464 404397 462168 539196 616224 718928 808794 924336 1078392 1437856 1617588 1848672 2156784 3235176 4313568 6470352 12940704