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12137490 = 2325177933
BaseRepresentation
bin101110010011…
…010000010010
3211211122111200
4232103100102
511101344430
61112052030
7205111161
oct56232022
924748450
1012137490
116940092
124094016
13268c761
14187d3d8
1510eb460
hexb93412

12137490 has 48 divisors (see below), whose sum is σ = 33418008. Its totient is φ = 3045888.

The previous prime is 12137479. The next prime is 12137497. The reversal of 12137490 is 9473121.

It can be written as a sum of positive squares in 4 ways, for example, as 10055241 + 2082249 = 3171^2 + 1443^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2437 + ... + 5496.

Almost surely, 212137490 is an apocalyptic number.

12137490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12137490 is an abundant number, since it is smaller than the sum of its proper divisors (21280518).

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

12137490 is a wasteful number, since it uses less digits than its factorization.

12137490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12137490 is about 3483.8900671519. The cubic root of 12137490 is about 229.8139011331.

The spelling of 12137490 in words is "twelve million, one hundred thirty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 7933 15866 23799 39665 47598 71397 79330 118995 134861 142794 237990 269722 356985 404583 674305 713970 809166 1213749 1348610 2022915 2427498 4045830 6068745 12137490