Search a number
-
+
115350150 = 23527110831
BaseRepresentation
bin1101110000000…
…01101010000110
322001001101122210
412320001222012
5214012201100
615240204250
72600313546
oct670015206
9261041583
10115350150
115a126303
1232769686
131ab89636
1411469326
15a1d7c50
hex6e01a86

115350150 has 48 divisors (see below), whose sum is σ = 290124288. Its totient is φ = 30324000.

The previous prime is 115350149. The next prime is 115350161. The reversal of 115350150 is 51053511.

It is a super-3 number, since 3×1153501503 (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5235 + ... + 16065.

It is an arithmetic number, because the mean of its divisors is an integer number (6044256).

Almost surely, 2115350150 is an apocalyptic number.

115350150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115350150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145062144).

115350150 is an abundant number, since it is smaller than the sum of its proper divisors (174774138).

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

115350150 is a wasteful number, since it uses less digits than its factorization.

115350150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 115350150 is about 10740.1187144277. The cubic root of 115350150 is about 486.7874666245.

The spelling of 115350150 in words is "one hundred fifteen million, three hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 426 710 1065 1775 2130 3550 5325 10650 10831 21662 32493 54155 64986 108310 162465 270775 324930 541550 769001 812325 1538002 1624650 2307003 3845005 4614006 7690010 11535015 19225025 23070030 38450050 57675075 115350150