Search a number
-
+
10264802040 = 2332528513339
BaseRepresentation
bin10011000111101010…
…00111001011111000
3222111101000222020100
421203311013023320
5132010242131130
64414322155400
7512241243363
oct114365071370
928441028210
1010264802040
114398238779
121ba57b2b60
13c7781337c
146d53b30da
15401267c60
hex263d472f8

10264802040 has 48 divisors (see below), whose sum is σ = 33360607800. Its totient is φ = 2737280448.

The previous prime is 10264802033. The next prime is 10264802063. The reversal of 10264802040 is 4020846201.

10264802040 is a `hidden beast` number, since 10 + 2 + 648 + 0 + 2 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10264801995 and 10264802013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14256310 + ... + 14257029.

Almost surely, 210264802040 is an apocalyptic number.

10264802040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10264802040 is an abundant number, since it is smaller than the sum of its proper divisors (23095805760).

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

10264802040 is a wasteful number, since it uses less digits than its factorization.

10264802040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28513356 (or 28513349 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10264802040 in words is "ten billion, two hundred sixty-four million, eight hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28513339 57026678 85540017 114053356 142566695 171080034 228106712 256620051 285133390 342160068 427700085 513240102 570266780 684320136 855400170 1026480204 1140533560 1283100255 1710800340 2052960408 2566200510 3421600680 5132401020 10264802040