Search a number
-
+
117507572 = 22713536091
BaseRepresentation
bin1110000000100…
…00010111110100
322012010000002022
413000100113310
5220040220242
615354332312
72624540450
oct700202764
9265100068
10117507572
116036a1a6
123342a098
131b463610
141186b660
15a4b20d2
hex70105f4

117507572 has 48 divisors (see below), whose sum is σ = 257910912. Its totient is φ = 45601920.

The previous prime is 117507547. The next prime is 117507583. The reversal of 117507572 is 275705711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16247 + ... + 22337.

It is an arithmetic number, because the mean of its divisors is an integer number (5373144).

Almost surely, 2117507572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117507572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128955456).

117507572 is an abundant number, since it is smaller than the sum of its proper divisors (140403340).

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

117507572 is a wasteful number, since it uses less digits than its factorization.

117507572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 35.

The square root of 117507572 is about 10840.0909590280. The cubic root of 117507572 is about 489.8035753034.

The spelling of 117507572 in words is "one hundred seventeen million, five hundred seven thousand, five hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1378 1484 2756 4823 6091 9646 12182 19292 24364 42637 79183 85274 158366 170548 316732 322823 554281 645646 1108562 1291292 2217124 2259761 4196699 4519522 8393398 9039044 16786796 29376893 58753786 117507572