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12902912 = 29112979
BaseRepresentation
bin110001001110…
…001000000000
3220021112110122
4301032020000
511300343122
61140315412
7214446551
oct61161000
926245418
1012902912
117313170
1243a2b68
132899c79
1419dc328
1511ed142
hexc4e200

12902912 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 5591040.

The previous prime is 12902891. The next prime is 12902951. The reversal of 12902912 is 21920921.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163289 + ... + 163367.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 212902912 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 12902912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

12902912 is an abundant number, since it is smaller than the sum of its proper divisors (16559488).

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

12902912 is an equidigital number, since it uses as much as digits as its factorization.

12902912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 12902912 is about 3592.0623602605. The cubic root of 12902912 is about 234.5466558074.

Subtracting 12902912 from its reverse (21920921), we obtain a square (9018009 = 30032).

The spelling of 12902912 in words is "twelve million, nine hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 79 88 116 128 158 176 232 256 316 319 352 464 512 632 638 704 869 928 1264 1276 1408 1738 1856 2291 2528 2552 2816 3476 3712 4582 5056 5104 5632 6952 7424 9164 10112 10208 13904 14848 18328 20224 20416 25201 27808 36656 40448 40832 50402 55616 73312 81664 100804 111232 146624 163328 201608 222464 293248 403216 444928 586496 806432 1172992 1612864 3225728 6451456 12902912