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10056860 = 22511172689
BaseRepresentation
bin100110010111…
…010010011100
3200220221102022
4212113102130
510033304420
6555315312
7151324202
oct46272234
920827368
1010056860
115749960
12344bb38
132111708
14149b072
15d39c25
hex99749c

10056860 has 48 divisors (see below), whose sum is σ = 24403680. Its totient is φ = 3440640.

The previous prime is 10056847. The next prime is 10056889. The reversal of 10056860 is 6865001.

10056860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100568602 = 202280866119200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2396 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (508410).

Almost surely, 210056860 is an apocalyptic number.

10056860 is a gapful number since it is divisible by the number (10) 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 10056860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201840).

10056860 is an abundant number, since it is smaller than the sum of its proper divisors (14346820).

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

10056860 is a wasteful number, since it uses less digits than its factorization.

10056860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 10056860 is about 3171.2552719704. The cubic root of 10056860 is about 215.8510346919.

The spelling of 10056860 in words is "ten million, fifty-six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 2689 3740 5378 10756 13445 26890 29579 45713 53780 59158 91426 118316 147895 182852 228565 295790 457130 502843 591580 914260 1005686 2011372 2514215 5028430 10056860