Search a number
-
+
10056435390 = 233537246057
BaseRepresentation
bin10010101110110100…
…10000011010111110
3221221211221211221000
421113122100122332
5131043421413030
64341520151130
7504131201421
oct112732203276
927854854830
1010056435390
1142a0660831
121b47a684a6
13c435b9ab1
146b58539b8
153dcd09860
hex2576906be

10056435390 has 32 divisors (see below), whose sum is σ = 26817161760. Its totient is φ = 2681716032.

The previous prime is 10056435379. The next prime is 10056435401. The reversal of 10056435390 is 9353465001.

10056435390 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 643 + 5 + 3 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10056435379) and next prime (10056435401).

It is a super-2 number, since 2×100564353902 (a number of 21 digits) 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, 18622759 + ... + 18623298.

It is an arithmetic number, because the mean of its divisors is an integer number (838036305).

Almost surely, 210056435390 is an apocalyptic number.

10056435390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10056435390 is an abundant number, since it is smaller than the sum of its proper divisors (16760726370).

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

10056435390 is a wasteful number, since it uses less digits than its factorization.

10056435390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37246073 (or 37246067 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10056435390 in words is "ten billion, fifty-six million, four hundred thirty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 37246057 74492114 111738171 186230285 223476342 335214513 372460570 558690855 670429026 1005643539 1117381710 1676072565 2011287078 3352145130 5028217695 10056435390