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12789960 = 2335532011
BaseRepresentation
bin110000110010…
…100011001000
3220001210112020
4300302203020
511233234320
61134044440
7213466341
oct60624310
926053466
1012789960
117246317
124349720
13285a731
1419ad0c8
1511c9940
hexc328c8

12789960 has 64 divisors (see below), whose sum is σ = 39113280. Its totient is φ = 3344640.

The previous prime is 12789947. The next prime is 12789971. The reversal of 12789960 is 6998721.

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, 5355 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (611145).

Almost surely, 212789960 is an apocalyptic number.

12789960 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 12789960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556640).

12789960 is an abundant number, since it is smaller than the sum of its proper divisors (26323320).

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

12789960 is a wasteful number, since it uses less digits than its factorization.

12789960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 12789960 is about 3576.3053560903. The cubic root of 12789960 is about 233.8602423547.

The spelling of 12789960 in words is "twelve million, seven hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2011 2120 3180 4022 6033 6360 8044 10055 12066 16088 20110 24132 30165 40220 48264 60330 80440 106583 120660 213166 241320 319749 426332 532915 639498 852664 1065830 1278996 1598745 2131660 2557992 3197490 4263320 6394980 12789960