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12717630 = 2325141307
BaseRepresentation
bin110000100000…
…111000111110
3212221010022100
4300200320332
511223431010
61132325530
7213045432
oct60407076
925833270
1012717630
1171a6a42
1243138a6
132833833
1419909c2
1511b32c0
hexc20e3e

12717630 has 24 divisors (see below), whose sum is σ = 33066072. Its totient is φ = 3391344.

The previous prime is 12717623. The next prime is 12717647. The reversal of 12717630 is 3671721.

12717630 is a `hidden beast` number, since 1 + 27 + 1 + 7 + 630 = 666.

It is a super-2 number, since 2×127176302 = 323476225633800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12717594 and 12717603.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 70564 + ... + 70743.

It is an arithmetic number, because the mean of its divisors is an integer number (1377753).

Almost surely, 212717630 is an apocalyptic number.

12717630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12717630 is an abundant number, since it is smaller than the sum of its proper divisors (20348442).

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

12717630 is a wasteful number, since it uses less digits than its factorization.

12717630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141320 (or 141317 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 12717630 is about 3566.1786270460. The cubic root of 12717630 is about 233.4185652346.

The spelling of 12717630 in words is "twelve million, seven hundred seventeen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 141307 282614 423921 706535 847842 1271763 1413070 2119605 2543526 4239210 6358815 12717630