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12517940 = 2251016197
BaseRepresentation
bin101111110000…
…001000110100
3212112222101102
4233300020310
511201033230
61124145232
7211254311
oct57601064
925488342
1012517940
11707aa06
124238218
132793986
14193bd08
151174045
hexbf0234

12517940 has 24 divisors (see below), whose sum is σ = 26552232. Its totient is φ = 4956800.

The previous prime is 12517931. The next prime is 12517943. The reversal of 12517940 is 4971521.

It can be written as a sum of positive squares in 4 ways, for example, as 3541924 + 8976016 = 1882^2 + 2996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12517943) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1079 + ... + 5118.

It is an arithmetic number, because the mean of its divisors is an integer number (1106343).

Almost surely, 212517940 is an apocalyptic number.

12517940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12517940 is an abundant number, since it is smaller than the sum of its proper divisors (14034292).

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

12517940 is a wasteful number, since it uses less digits than its factorization.

12517940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 12517940 is about 3538.0700954051. The cubic root of 12517940 is about 232.1904154126.

The spelling of 12517940 in words is "twelve million, five hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6197 12394 24788 30985 61970 123940 625897 1251794 2503588 3129485 6258970 12517940