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12286980 = 2232568261
BaseRepresentation
bin101110110111…
…110000000100
3212010020120100
4232313300010
511121140410
61115204100
7206303046
oct56676004
925106510
1012286980
116a32432
124146630
132712804
1418bba96
15112a8c0
hexbb7c04

12286980 has 36 divisors (see below), whose sum is σ = 37271052. Its totient is φ = 3276480.

The previous prime is 12286969. The next prime is 12286999. The reversal of 12286980 is 8968221.

12286980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 10653696 = 1278^2 + 3264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33951 + ... + 34310.

It is an arithmetic number, because the mean of its divisors is an integer number (1035307).

Almost surely, 212286980 is an apocalyptic number.

12286980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12286980 is an abundant number, since it is smaller than the sum of its proper divisors (24984072).

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

12286980 is a wasteful number, since it uses less digits than its factorization.

12286980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68276 (or 68271 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12286980 is about 3505.2788762094. The cubic root of 12286980 is about 230.7535461135.

The spelling of 12286980 in words is "twelve million, two hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68261 136522 204783 273044 341305 409566 614349 682610 819132 1023915 1228698 1365220 2047830 2457396 3071745 4095660 6143490 12286980