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12137825 = 527431613
BaseRepresentation
bin101110010011…
…010101100001
3211211122222002
4232103111201
511101402300
61112053345
7205112150
oct56232541
924748862
1012137825
116940367
124094255
13268c95b
14187d597
1510eb5d5
hexb93561

12137825 has 24 divisors (see below), whose sum is σ = 17611968. Its totient is φ = 8124480.

The previous prime is 12137821. The next prime is 12137831. The reversal of 12137825 is 52873121.

12137825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12137825 - 22 = 12137821 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12137821) 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, 6719 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (733832).

Almost surely, 212137825 is an apocalyptic number.

It is an amenable number.

12137825 is a deficient number, since it is larger than the sum of its proper divisors (5474143).

12137825 is a wasteful number, since it uses less digits than its factorization.

12137825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1668 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 12137825 is about 3483.9381452603. The cubic root of 12137825 is about 229.8160154348.

It can be divided in two parts, 121 and 37825, that multiplied together give a triangular number (4576825 = T3025).

The spelling of 12137825 in words is "twelve million, one hundred thirty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 43 175 215 301 1075 1505 1613 7525 8065 11291 40325 56455 69359 282275 346795 485513 1733975 2427565 12137825