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12930768 = 243289797
BaseRepresentation
bin110001010100…
…111011010000
3220022221200100
4301110323100
511302241033
61141052400
7214624014
oct61247320
926287610
1012930768
117332094
1243b7100
1328a9856
141a08544
151206513
hexc54ed0

12930768 has 30 divisors (see below), whose sum is σ = 36188594. Its totient is φ = 4310208.

The previous prime is 12930739. The next prime is 12930787. The reversal of 12930768 is 86703921.

It can be written as a sum of positive squares in only one way, i.e., 9290304 + 3640464 = 3048^2 + 1908^2 .

It is a super-2 number, since 2×129307682 = 334409522139648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 44755 + ... + 45042.

Almost surely, 212930768 is an apocalyptic number.

12930768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12930768 is an abundant number, since it is smaller than the sum of its proper divisors (23257826).

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

12930768 is a wasteful number, since it uses less digits than its factorization.

12930768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89811 (or 89802 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12930768 is about 3595.9377080255. The cubic root of 12930768 is about 234.7153214943.

The spelling of 12930768 in words is "twelve million, nine hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 89797 179594 269391 359188 538782 718376 808173 1077564 1436752 1616346 2155128 3232692 4310256 6465384 12930768