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10056020 = 2251338677
BaseRepresentation
bin100110010111…
…000101010100
3200220220021012
4212113011110
510033243040
6555311352
7151321562
oct46270524
920826235
1010056020
115749267
12344b558
132111210
14149aa32
15d39865
hex997154

10056020 has 24 divisors (see below), whose sum is σ = 22742664. Its totient is φ = 3712896.

The previous prime is 10056001. The next prime is 10056089. The reversal of 10056020 is 2065001.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 9746884 = 556^2 + 3122^2 .

It is a super-2 number, since 2×100560202 = 202247076480800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10055986 and 10056004.

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, 19079 + ... + 19598.

It is an arithmetic number, because the mean of its divisors is an integer number (947611).

Almost surely, 210056020 is an apocalyptic number.

10056020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056020 is an abundant number, since it is smaller than the sum of its proper divisors (12686644).

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

10056020 is a wasteful number, since it uses less digits than its factorization.

10056020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38699 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10056020 is about 3171.1228295353. The cubic root of 10056020 is about 215.8450248665.

The spelling of 10056020 in words is "ten million, fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 38677 77354 154708 193385 386770 502801 773540 1005602 2011204 2514005 5028010 10056020