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12617930 = 2513312101
BaseRepresentation
bin110000001000…
…100011001010
3212202001112202
4300020203022
511212233210
61130240202
7212151653
oct60104312
925661482
1012617930
117139046
124286062
1327ca340
14196652a
1511939a5
hexc088ca

12617930 has 48 divisors (see below), whose sum is σ = 25524072. Its totient is φ = 4464000.

The previous prime is 12617921. The next prime is 12617939. The reversal of 12617930 is 3971621.

It is an interprime number because it is at equal distance from previous prime (12617921) and next prime (12617939).

It can be written as a sum of positive squares in 4 ways, for example, as 11002489 + 1615441 = 3317^2 + 1271^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12617893 and 12617902.

It is not an unprimeable number, because it can be changed into a prime (12617939) 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, 124880 + ... + 124980.

Almost surely, 212617930 is an apocalyptic number.

12617930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12617930 is an abundant number, since it is smaller than the sum of its proper divisors (12906142).

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

12617930 is a wasteful number, since it uses less digits than its factorization.

12617930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

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

The square root of 12617930 is about 3552.1725746365. The cubic root of 12617930 is about 232.8070018520.

The spelling of 12617930 in words is "twelve million, six hundred seventeen thousand, nine hundred thirty".

Divisors: 1 2 5 10 13 26 31 62 65 101 130 155 202 310 403 505 806 961 1010 1313 1922 2015 2626 3131 4030 4805 6262 6565 9610 12493 13130 15655 24986 31310 40703 62465 81406 97061 124930 194122 203515 407030 485305 970610 1261793 2523586 6308965 12617930