Search a number
-
+
117733084 = 22725910181
BaseRepresentation
bin1110000010001…
…11011011011100
322012112110102121
413001013123130
5220114424314
615403232324
72626500100
oct701073334
9265473377
10117733084
1160503677
12335186a4
131b512161
14118c9900
15a508d24
hex70476dc

117733084 has 36 divisors (see below), whose sum is σ = 243757080. Its totient is φ = 49596960.

The previous prime is 117733081. The next prime is 117733141. The reversal of 117733084 is 480337711.

It is a super-2 number, since 2×1177330842 = 27722158136302112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117733081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6474 + ... + 16654.

It is an arithmetic number, because the mean of its divisors is an integer number (6771030).

Almost surely, 2117733084 is an apocalyptic number.

117733084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117733084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121878540).

117733084 is an abundant number, since it is smaller than the sum of its proper divisors (126023996).

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

117733084 is a wasteful number, since it uses less digits than its factorization.

117733084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 117733084 is about 10850.4877309732. The cubic root of 117733084 is about 490.1167068947.

The spelling of 117733084 in words is "one hundred seventeen million, seven hundred thirty-three thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 826 1652 2891 5782 10181 11564 20362 40724 71267 142534 285068 498869 600679 997738 1201358 1995476 2402716 4204753 8409506 16819012 29433271 58866542 117733084