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10712493 = 341121093
BaseRepresentation
bin101000110111…
…010110101101
3202011020210000
4220313112231
510220244433
61021334513
7160024521
oct50672655
922136700
1010712493
116057500
123707439
1322b0c6c
1415cbd81
15e19113
hexa375ad

10712493 has 30 divisors (see below), whose sum is σ = 17605742. Its totient is φ = 6486480.

The previous prime is 10712483. The next prime is 10712497. The reversal of 10712493 is 39421701.

It can be written as a sum of positive squares in only one way, i.e., 10673289 + 39204 = 3267^2 + 198^2 .

It is not a de Polignac number, because 10712493 - 213 = 10704301 is a prime.

It is a super-2 number, since 2×107124932 = 229515012550098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712497) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9255 + ... + 10347.

Almost surely, 210712493 is an apocalyptic number.

It is an amenable number.

10712493 is a deficient number, since it is larger than the sum of its proper divisors (6893249).

10712493 is a wasteful number, since it uses less digits than its factorization.

10712493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10712493 is about 3272.9945004537. The cubic root of 10712493 is about 220.4432729264.

The spelling of 10712493 in words is "ten million, seven hundred twelve thousand, four hundred ninety-three".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1093 3267 3279 9801 9837 12023 29511 36069 88533 108207 132253 324621 396759 973863 1190277 3570831 10712493