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12137960 = 2351915971
BaseRepresentation
bin101110010011…
…010111101000
3211211200011002
4232103113220
511101403320
61112054132
7205112432
oct56232750
924750132
1012137960
11694047a
124094348
13268ca33
14187d652
1510eb675
hexb935e8

12137960 has 32 divisors (see below), whose sum is σ = 28749600. Its totient is φ = 4599360.

The previous prime is 12137953. The next prime is 12137969. The reversal of 12137960 is 6973121.

It is not an unprimeable number, because it can be changed into a prime (12137969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7226 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (898425).

Almost surely, 212137960 is an apocalyptic number.

12137960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12137960 is an abundant number, since it is smaller than the sum of its proper divisors (16611640).

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

12137960 is a wasteful number, since it uses less digits than its factorization.

12137960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001 (or 15997 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 12137960 is about 3483.9575198329. The cubic root of 12137960 is about 229.8168674559.

The spelling of 12137960 in words is "twelve million, one hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 15971 31942 63884 79855 127768 159710 303449 319420 606898 638840 1213796 1517245 2427592 3034490 6068980 12137960