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12762930 = 2352353349
BaseRepresentation
bin110000101011…
…111100110010
3220000102110010
4300223330302
511231403210
61133315350
7213324465
oct60537462
926012403
1012762930
117227a84
124335b56
13284b33b
1419a32dc
1511c1920
hexc2bf32

12762930 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3184896.

The previous prime is 12762913. The next prime is 12762943. The reversal of 12762930 is 3926721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36396 + ... + 36744.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 212762930 is an apocalyptic number.

12762930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12762930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12762930 is an abundant number, since it is smaller than the sum of its proper divisors (19896270).

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

12762930 is a wasteful number, since it uses less digits than its factorization.

12762930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 12762930 is about 3572.5243176219. The cubic root of 12762930 is about 233.6953812543.

The spelling of 12762930 in words is "twelve million, seven hundred sixty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 53 69 106 115 138 159 230 265 318 345 349 530 690 698 795 1047 1219 1590 1745 2094 2438 3490 3657 5235 6095 7314 8027 10470 12190 16054 18285 18497 24081 36570 36994 40135 48162 55491 80270 92485 110982 120405 184970 240810 277455 425431 554910 850862 1276293 2127155 2552586 4254310 6381465 12762930