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13120980 = 2235379577
BaseRepresentation
bin110010000011…
…010111010100
3220200121121020
4302003113110
511324332410
61145121140
7216345405
oct62032724
926617536
1013120980
117451a94
1244891b0
1329452c2
141a579ac
151242a70
hexc835d4

13120980 has 48 divisors (see below), whose sum is σ = 36899520. Its totient is φ = 3483648.

The previous prime is 13120979. The next prime is 13120981. The reversal of 13120980 is 8902131.

It is an interprime number because it is at equal distance from previous prime (13120979) and next prime (13120981).

It is a self number, because there is not a number n which added to its sum of digits gives 13120980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120981) 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 15 ways as a sum of consecutive naturals, for example, 22452 + ... + 23028.

It is an arithmetic number, because the mean of its divisors is an integer number (768740).

Almost surely, 213120980 is an apocalyptic number.

13120980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120980 is an abundant number, since it is smaller than the sum of its proper divisors (23778540).

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

13120980 is a wasteful number, since it uses less digits than its factorization.

13120980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13120980 is about 3622.2893313483. The cubic root of 13120980 is about 235.8606138522.

The spelling of 13120980 in words is "thirteen million, one hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 379 577 758 1137 1154 1516 1731 1895 2274 2308 2885 3462 3790 4548 5685 5770 6924 7580 8655 11370 11540 17310 22740 34620 218683 437366 656049 874732 1093415 1312098 2186830 2624196 3280245 4373660 6560490 13120980