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12962980 = 2255931093
BaseRepresentation
bin110001011100…
…110010100100
3220101120212101
4301130302210
511304303410
61141501444
7215116642
oct61346244
926346771
1012962980
117354308
124411884
1328bb404
141a16192
151210d3a
hexc5cca4

12962980 has 24 divisors (see below), whose sum is σ = 27293112. Its totient is φ = 5171712.

The previous prime is 12962951. The next prime is 12962981. The reversal of 12962980 is 8926921.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 7431076 = 2352^2 + 2726^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12962981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11314 + ... + 12406.

It is an arithmetic number, because the mean of its divisors is an integer number (1137213).

Almost surely, 212962980 is an apocalyptic number.

12962980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12962980 is an abundant number, since it is smaller than the sum of its proper divisors (14330132).

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

12962980 is a wasteful number, since it uses less digits than its factorization.

12962980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 12962980 is about 3600.4138650994. The cubic root of 12962980 is about 234.9100606484.

The spelling of 12962980 in words is "twelve million, nine hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 593 1093 1186 2186 2372 2965 4372 5465 5930 10930 11860 21860 648149 1296298 2592596 3240745 6481490 12962980