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10712496 = 243673331
BaseRepresentation
bin101000110111…
…010110110000
3202011020210010
4220313112300
510220244441
61021334520
7160024524
oct50672660
922136703
1010712496
116057503
123707440
1322b0c72
1415cbd84
15e19116
hexa375b0

10712496 has 40 divisors (see below), whose sum is σ = 28095424. Its totient is φ = 3516480.

The previous prime is 10712483. The next prime is 10712497. The reversal of 10712496 is 69421701.

It is a happy number.

10712496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107124962 = 229515141100032, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1551 + ... + 4881.

Almost surely, 210712496 is an apocalyptic number.

10712496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047712).

10712496 is an abundant number, since it is smaller than the sum of its proper divisors (17382928).

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

10712496 is a wasteful number, since it uses less digits than its factorization.

10712496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10712496 is about 3272.9949587496. The cubic root of 10712496 is about 220.4432935046.

The spelling of 10712496 in words is "ten million, seven hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 3331 6662 9993 13324 19986 26648 39972 53296 79944 159888 223177 446354 669531 892708 1339062 1785416 2678124 3570832 5356248 10712496