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12137064 = 233505711
BaseRepresentation
bin101110010011…
…001001101000
3211211121220220
4232103021220
511101341224
61112050040
7205110012
oct56231150
924747826
1012137064
11693a835
124093920
13268c4c4
14187d1b2
1510eb279
hexb93268

12137064 has 16 divisors (see below), whose sum is σ = 30342720. Its totient is φ = 4045680.

The previous prime is 12137039. The next prime is 12137087. The reversal of 12137064 is 46073121.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 505711 = 12137064 / (1 + 2 + 1 + 3 + 7 + 0 + 6 + 4).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 252832 + ... + 252879.

It is an arithmetic number, because the mean of its divisors is an integer number (1896420).

Almost surely, 212137064 is an apocalyptic number.

It is an amenable number.

12137064 is an abundant number, since it is smaller than the sum of its proper divisors (18205656).

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

12137064 is a wasteful number, since it uses less digits than its factorization.

12137064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505720 (or 505716 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12137064 is about 3483.8289280618. The cubic root of 12137064 is about 229.8112124424.

The spelling of 12137064 in words is "twelve million, one hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 505711 1011422 1517133 2022844 3034266 4045688 6068532 12137064