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10856096 = 253753173
BaseRepresentation
bin101001011010…
…011010100000
3202102112202122
4221122122200
510234343341
61024403412
7161163266
oct51323240
922375678
1010856096
116145389
123776568
132331434
141628436
15e4694b
hexa5a6a0

10856096 has 48 divisors (see below), whose sum is σ = 22494024. Its totient is φ = 5151744.

The previous prime is 10856093. The next prime is 10856099. The reversal of 10856096 is 69065801.

It is an interprime number because it is at equal distance from previous prime (10856093) and next prime (10856099).

It can be written as a sum of positive squares in 4 ways, for example, as 10471696 + 384400 = 3236^2 + 620^2 .

It is a super-2 number, since 2×108560962 = 235709640722432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10856093) 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, 62666 + ... + 62838.

Almost surely, 210856096 is an apocalyptic number.

10856096 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 10856096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247012).

10856096 is an abundant number, since it is smaller than the sum of its proper divisors (11637928).

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

10856096 is a wasteful number, since it uses less digits than its factorization.

10856096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 10856096 is about 3294.8590258158. The cubic root of 10856096 is about 221.4239318784.

The spelling of 10856096 in words is "ten million, eight hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 173 212 296 346 424 592 692 848 1184 1384 1696 1961 2768 3922 5536 6401 7844 9169 12802 15688 18338 25604 31376 36676 51208 62752 73352 102416 146704 204832 293408 339253 678506 1357012 2714024 5428048 10856096