Search a number
-
+
115110072 = 2335711769
BaseRepresentation
bin1101101110001…
…11000010111000
322000121012100000
412313013002320
5213432010242
615231113000
72565263610
oct667070270
9260535300
10115110072
1159a819a0
1232672760
131ab0428c
1411405a40
15a18ba4c
hex6dc70b8

115110072 has 192 divisors, whose sum is σ = 403603200. Its totient is φ = 29859840.

The previous prime is 115110053. The next prime is 115110137. The reversal of 115110072 is 270011511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149304 + ... + 150072.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 2115110072 is an apocalyptic number.

115110072 is a gapful number since it is divisible by the number (12) 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 115110072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

115110072 is an abundant number, since it is smaller than the sum of its proper divisors (288493128).

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

115110072 is a wasteful number, since it uses less digits than its factorization.

115110072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 115110072 is about 10728.9362007610. The cubic root of 115110072 is about 486.4495155148.

Adding to 115110072 its reverse (270011511), we get a palindrome (385121583).

The spelling of 115110072 in words is "one hundred fifteen million, one hundred ten thousand, seventy-two".