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10539312 = 243724481
BaseRepresentation
bin101000001101…
…000100110000
3201211110012220
4220031010300
510144224222
61013521040
7155403600
oct50150460
921743186
1010539312
115a49383
123643180
1322501a4
141584c00
15dd2b5c
hexa0d130

10539312 has 60 divisors (see below), whose sum is σ = 31678776. Its totient is φ = 3010560.

The previous prime is 10539293. The next prime is 10539317. The reversal of 10539312 is 21393501.

It is a happy number.

It is a super-2 number, since 2×105393122 = 222154194866688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10539317) 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, 112 + ... + 4592.

Almost surely, 210539312 is an apocalyptic number.

10539312 is a gapful number since it is divisible by the number (12) 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 10539312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839388).

10539312 is an abundant number, since it is smaller than the sum of its proper divisors (21139464).

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

10539312 is a wasteful number, since it uses less digits than its factorization.

10539312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 10539312 is about 3246.4306553506. The cubic root of 10539312 is about 219.2488986404.

The spelling of 10539312 in words is "ten million, five hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 4481 8962 13443 17924 26886 31367 35848 53772 62734 71696 94101 107544 125468 188202 215088 219569 250936 376404 439138 501872 658707 752808 878276 1317414 1505616 1756552 2634828 3513104 5269656 10539312