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12612680 = 2352983131
BaseRepresentation
bin110000000111…
…010001001000
3212201210100022
4300013101020
511212101210
61130200012
7212130443
oct60072110
925653308
1012612680
117135103
124283008
1327c7b32
14196465a
151192155
hexc07448

12612680 has 64 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4775680.

The previous prime is 12612679. The next prime is 12612703. The reversal of 12612680 is 8621621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96215 + ... + 96345.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 212612680 is an apocalyptic number.

12612680 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 12612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12612680 is an abundant number, since it is smaller than the sum of its proper divisors (17324920).

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

12612680 is a wasteful number, since it uses less digits than its factorization.

12612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12612680 is about 3551.4335133858. The cubic root of 12612680 is about 232.7747090139.

The spelling of 12612680 in words is "twelve million, six hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 83 116 131 145 166 232 262 290 332 415 524 580 655 664 830 1048 1160 1310 1660 2407 2620 3320 3799 4814 5240 7598 9628 10873 12035 15196 18995 19256 21746 24070 30392 37990 43492 48140 54365 75980 86984 96280 108730 151960 217460 315317 434920 630634 1261268 1576585 2522536 3153170 6306340 12612680