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12959120 = 245237043
BaseRepresentation
bin110001011011…
…110110010000
3220101101120102
4301123312100
511304142440
61141431532
7215102456
oct61336620
926341512
1012959120
117351419
12440b5a8
1328b9725
141a149d6
15120eb15
hexc5bd90

12959120 has 40 divisors (see below), whose sum is σ = 31444416. Its totient is φ = 4957568.

The previous prime is 12959099. The next prime is 12959123. The reversal of 12959120 is 2195921.

12959120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12959123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1682 + ... + 5361.

Almost surely, 212959120 is an apocalyptic number.

12959120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12959120 is an abundant number, since it is smaller than the sum of its proper divisors (18485296).

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

12959120 is a wasteful number, since it uses less digits than its factorization.

12959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 12959120 is about 3599.8777757029. The cubic root of 12959120 is about 234.8867418629.

The spelling of 12959120 in words is "twelve million, nine hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 7043 14086 28172 35215 56344 70430 112688 140860 161989 281720 323978 563440 647956 809945 1295912 1619890 2591824 3239780 6479560 12959120