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12766980 = 2235389547
BaseRepresentation
bin110000101100…
…111100000100
3220000122000010
4300230330010
511232020410
61133350220
7213342342
oct60547404
926018003
1012766980
117230026
124338370
132850135
1419a4992
1511c2c20
hexc2cf04

12766980 has 48 divisors (see below), whose sum is σ = 35904960. Its totient is φ = 3389568.

The previous prime is 12766967. The next prime is 12766981. The reversal of 12766980 is 8966721.

It is not an unprimeable number, because it can be changed into a prime (12766981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23067 + ... + 23613.

It is an arithmetic number, because the mean of its divisors is an integer number (748020).

Almost surely, 212766980 is an apocalyptic number.

12766980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12766980 is an abundant number, since it is smaller than the sum of its proper divisors (23137980).

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

12766980 is a wasteful number, since it uses less digits than its factorization.

12766980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 12766980 is about 3573.0910987547. The cubic root of 12766980 is about 233.7200977888.

It can be divided in two parts, 1276 and 6980, that added together give a triangular number (8256 = T128).

The spelling of 12766980 in words is "twelve million, seven hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 547 778 1094 1167 1556 1641 1945 2188 2334 2735 3282 3890 4668 5470 5835 6564 7780 8205 10940 11670 16410 23340 32820 212783 425566 638349 851132 1063915 1276698 2127830 2553396 3191745 4255660 6383490 12766980