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10725312 = 263134297
BaseRepresentation
bin101000111010…
…011111000000
3202011220100210
4220322133000
510221202222
61021514120
7160110063
oct50723700
922156323
1010725312
1160660a4
123712940
1322b6a50
1415d28da
15e1cd0c
hexa3a7c0

10725312 has 56 divisors (see below), whose sum is σ = 30567376. Its totient is φ = 3299328.

The previous prime is 10725307. The next prime is 10725371. The reversal of 10725312 is 21352701.

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 7 ways as a sum of consecutive naturals, for example, 348 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (545846).

Almost surely, 210725312 is an apocalyptic number.

10725312 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 10725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283688).

10725312 is an abundant number, since it is smaller than the sum of its proper divisors (19842064).

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

10725312 is a wasteful number, since it uses less digits than its factorization.

10725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10725312 is about 3274.9522133918. The cubic root of 10725312 is about 220.5311683050.

The spelling of 10725312 in words is "ten million, seven hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4297 8594 12891 17188 25782 34376 51564 55861 68752 103128 111722 137504 167583 206256 223444 275008 335166 412512 446888 670332 825024 893776 1340664 1787552 2681328 3575104 5362656 10725312