Search a number
-
+
10056460020 = 2235167607667
BaseRepresentation
bin10010101110110100…
…10110011011110100
3221221212000002201020
421113122112123310
5131043423210040
64341520501140
7504131333265
oct112732263364
927855002636
1010056460020
1142a0678292
121b47a7a7b0
13c435c8079
146b585c96c
153dcd11cd0
hex2576966f4

10056460020 has 24 divisors (see below), whose sum is σ = 28158088224. Its totient is φ = 2681722656.

The previous prime is 10056460019. The next prime is 10056460069. The reversal of 10056460020 is 2006465001.

It is a super-2 number, since 2×100564600202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83803774 + ... + 83803893.

It is an arithmetic number, because the mean of its divisors is an integer number (1173253676).

Almost surely, 210056460020 is an apocalyptic number.

10056460020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056460020 is an abundant number, since it is smaller than the sum of its proper divisors (18101628204).

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

10056460020 is a wasteful number, since it uses less digits than its factorization.

10056460020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167607679 (or 167607677 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10056460020 in words is "ten billion, fifty-six million, four hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167607667 335215334 502823001 670430668 838038335 1005646002 1676076670 2011292004 2514115005 3352153340 5028230010 10056460020