Search a number
-
+
115685072 = 2419794817
BaseRepresentation
bin1101110010100…
…11011011010000
322001200102002022
412321103123100
5214103410242
615251311012
72603210156
oct671233320
9261612068
10115685072
115a3349a8
12328ab468
131ac75c09
14115153d6
15a2520d2
hex6e536d0

115685072 has 40 divisors (see below), whose sum is σ = 238972800. Its totient is φ = 54093312.

The previous prime is 115685069. The next prime is 115685077. The reversal of 115685072 is 270586511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115685077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21608 + ... + 26424.

It is an arithmetic number, because the mean of its divisors is an integer number (5974320).

Almost surely, 2115685072 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 115685072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119486400).

115685072 is an abundant number, since it is smaller than the sum of its proper divisors (123287728).

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

115685072 is a wasteful number, since it uses less digits than its factorization.

115685072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 115685072 is about 10755.6995123516. The cubic root of 115685072 is about 487.2581445071.

The spelling of 115685072 in words is "one hundred fifteen million, six hundred eighty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 3002 4817 6004 9634 12008 19268 24016 38536 77072 91523 183046 366092 380543 732184 761086 1464368 1522172 3044344 6088688 7230317 14460634 28921268 57842536 115685072