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12982356 = 2234172357
BaseRepresentation
bin110001100001…
…100001010100
3220102120110000
4301201201110
511310413411
61142131300
7215230302
oct61414124
926376400
1012982356
117367922
124420b30
1328c718a
141a1d272
151216956
hexc61854

12982356 has 60 divisors (see below), whose sum is σ = 35950068. Its totient is φ = 4071168.

The previous prime is 12982351. The next prime is 12982367. The reversal of 12982356 is 65328921.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 6812100 = 2484^2 + 2610^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12982356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4330 + ... + 6686.

Almost surely, 212982356 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 12982356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975034).

12982356 is an abundant number, since it is smaller than the sum of its proper divisors (22967712).

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

12982356 is a wasteful number, since it uses less digits than its factorization.

12982356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2379 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12982356 is about 3603.1036621224. The cubic root of 12982356 is about 235.0270438169.

The spelling of 12982356 in words is "twelve million, nine hundred eighty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2357 2754 4714 5508 7071 9428 14142 21213 28284 40069 42426 63639 80138 84852 120207 127278 160276 190917 240414 254556 360621 381834 480828 721242 763668 1081863 1442484 2163726 3245589 4327452 6491178 12982356