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12812982 = 2371331757
BaseRepresentation
bin110000111000…
…001010110110
3220002222002220
4300320022312
511240003412
61134343210
7213623430
oct60701266
926088086
1012812982
117261646
12435ab06
132868060
1419b7650
1511d168c
hexc382b6

12812982 has 64 divisors (see below), whose sum is σ = 32600064. Its totient is φ = 3265920.

The previous prime is 12812981. The next prime is 12812993. The reversal of 12812982 is 28921821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812981) 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 31 ways as a sum of consecutive naturals, for example, 16548 + ... + 17304.

It is an arithmetic number, because the mean of its divisors is an integer number (509376).

Almost surely, 212812982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12812982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300032).

12812982 is an abundant number, since it is smaller than the sum of its proper divisors (19787082).

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

12812982 is a wasteful number, since it uses less digits than its factorization.

12812982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813.

The product of its digits is 4608, while the sum is 33.

The square root of 12812982 is about 3579.5225938664. The cubic root of 12812982 is about 234.0004748328. Note that the first 3 decimals are identical.

The spelling of 12812982 in words is "twelve million, eight hundred twelve thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 757 806 1209 1302 1514 2271 2418 2821 4542 5299 5642 8463 9841 10598 15897 16926 19682 23467 29523 31794 46934 59046 68887 70401 137774 140802 164269 206661 305071 328538 413322 492807 610142 915213 985614 1830426 2135497 4270994 6406491 12812982