Search a number
-
+
31982934420 = 223251072916561
BaseRepresentation
bin11101110010010101…
…001101100110010100
310001112221112102000200
4131302111031212110
51011000112400140
622405345140500
72211365312523
oct356225154624
9101487472020
1031982934420
1112622595008
12624702a730
133029145888
1417959404ba
15c72c6a030
hex77254d994

31982934420 has 72 divisors (see below), whose sum is σ = 97029801960. Its totient is φ = 8527472640.

The previous prime is 31982934419. The next prime is 31982934427. The reversal of 31982934420 is 2443928913.

31982934420 is a `hidden beast` number, since 3 + 198 + 2 + 9 + 34 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 838449936 + 31144484484 = 28956^2 + 176478^2 .

It is a super-2 number, since 2×319829344202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31982934427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922940 + ... + 1939500.

Almost surely, 231982934420 is an apocalyptic number.

31982934420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31982934420 is an abundant number, since it is smaller than the sum of its proper divisors (65046867540).

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

31982934420 is a wasteful number, since it uses less digits than its factorization.

31982934420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27305 (or 27300 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 31982934420 in words is "thirty-one billion, nine hundred eighty-two million, nine hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10729 16561 21458 32187 33122 42916 49683 53645 64374 66244 82805 96561 99366 107290 128748 149049 160935 165610 193122 198732 214580 248415 298098 321870 331220 386244 482805 496830 596196 643740 745245 965610 993660 1490490 1931220 2980980 177682969 355365938 533048907 710731876 888414845 1066097814 1599146721 1776829690 2132195628 2665244535 3198293442 3553659380 5330489070 6396586884 7995733605 10660978140 15991467210 31982934420