Search a number
-
+
631119114 = 2358914591
BaseRepresentation
bin100101100111100…
…001110100001010
31121222120011200000
4211213201310022
52243031302424
6142343023430
721432265263
oct4547416412
91558504600
10631119114
112a428314a
1215743ab76
13a09a3082
145db6796a
153a6183c9
hex259e1d0a

631119114 has 48 divisors (see below), whose sum is σ = 1434101760. Its totient is φ = 207995040.

The previous prime is 631119113. The next prime is 631119121. The reversal of 631119114 is 411911136.

631119114 is a `hidden beast` number, since 631 + 1 + 19 + 1 + 14 = 666.

It is a super-2 number, since 2×6311191142 = 796622672112289992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (631119113) 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, 35959 + ... + 50549.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 2631119114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631119114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

631119114 is an abundant number, since it is smaller than the sum of its proper divisors (802982646).

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

631119114 is a wasteful number, since it uses less digits than its factorization.

631119114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14697 (or 14685 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 631119114 is about 25122.0841890158. The cubic root of 631119114 is about 857.7691931375.

It can be divided in two parts, 6311 and 19114, that added together give a triangular number (25425 = T225).

The spelling of 631119114 in words is "six hundred thirty-one million, one hundred nineteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 801 1602 2403 4806 7209 14418 14591 21627 29182 43254 43773 87546 131319 262638 393957 787914 1181871 1298599 2363742 2597198 3545613 3895797 7091226 7791594 11687391 23374782 35062173 70124346 105186519 210373038 315559557 631119114