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12959940 = 2235759523
BaseRepresentation
bin110001011100…
…000011000100
3220101102200210
4301130003010
511304204230
61141435420
7215105040
oct61340304
926342623
1012959940
117351aa4
12440bb70
1328b9c06
141a15020
15120eeb0
hexc5c0c4

12959940 has 96 divisors (see below), whose sum is σ = 42255360. Its totient is φ = 2906496.

The previous prime is 12959939. The next prime is 12959941. The reversal of 12959940 is 4995921.

It is an interprime number because it is at equal distance from previous prime (12959939) and next prime (12959941).

It is not an unprimeable number, because it can be changed into a prime (12959941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24519 + ... + 25041.

It is an arithmetic number, because the mean of its divisors is an integer number (440160).

Almost surely, 212959940 is an apocalyptic number.

12959940 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 12959940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127680).

12959940 is an abundant number, since it is smaller than the sum of its proper divisors (29295420).

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

12959940 is a wasteful number, since it uses less digits than its factorization.

12959940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 12959940 is about 3599.9916666570. The cubic root of 12959940 is about 234.8916959818.

The spelling of 12959940 in words is "twelve million, nine hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 523 590 708 826 885 1046 1180 1239 1569 1652 1770 2065 2092 2478 2615 3138 3540 3661 4130 4956 5230 6195 6276 7322 7845 8260 10460 10983 12390 14644 15690 18305 21966 24780 30857 31380 36610 43932 54915 61714 73220 92571 109830 123428 154285 185142 215999 219660 308570 370284 431998 462855 617140 647997 863996 925710 1079995 1295994 1851420 2159990 2591988 3239985 4319980 6479970 12959940