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10664712 = 2332178713
BaseRepresentation
bin101000101011…
…101100001000
3202001211020100
4220223230020
510212232322
61020325400
7156435312
oct50535410
922054210
1010664712
116024613
1236a3860
1322952a6
1415b87b2
15e09dac
hexa2bb08

10664712 has 48 divisors (see below), whose sum is σ = 30586140. Its totient is φ = 3345408.

The previous prime is 10664711. The next prime is 10664737. The reversal of 10664712 is 21746601.

10664712 is a `hidden beast` number, since 1 + 0 + 6 + 647 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8608356 + 2056356 = 2934^2 + 1434^2 .

It is a super-2 number, since 2×106647122 = 227472164085888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3133 + ... + 5580.

Almost surely, 210664712 is an apocalyptic number.

10664712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10664712 is an abundant number, since it is smaller than the sum of its proper divisors (19921428).

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

10664712 is a wasteful number, since it uses less digits than its factorization.

10664712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8735 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10664712 is about 3265.6870640035. The cubic root of 10664712 is about 220.1150362567.

It can be divided in two parts, 1066 and 4712, that added together give a triangular number (5778 = T107).

The spelling of 10664712 in words is "ten million, six hundred sixty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 8713 17426 26139 34852 52278 69704 78417 104556 148121 156834 209112 296242 313668 444363 592484 627336 888726 1184968 1333089 1777452 2666178 3554904 5332356 10664712