Search a number
-
+
115130964 = 223131375387
BaseRepresentation
bin1101101110011…
…00001001010100
322000122020222210
412313030021110
5213433142324
615231353420
72565411534
oct667141124
9260566883
10115130964
1159a96663
1232682870
131ab10940
141140d4c4
15a192d29
hex6dcc254

115130964 has 48 divisors (see below), whose sum is σ = 291469248. Its totient is φ = 35159808.

The previous prime is 115130963. The next prime is 115130971. The reversal of 115130964 is 469031511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115130963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18679 + ... + 24065.

It is an arithmetic number, because the mean of its divisors is an integer number (6072276).

Almost surely, 2115130964 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 115130964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145734624).

115130964 is an abundant number, since it is smaller than the sum of its proper divisors (176338284).

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

115130964 is a wasteful number, since it uses less digits than its factorization.

115130964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 115130964 is about 10729.9097852685. The cubic root of 115130964 is about 486.4789432567.

The spelling of 115130964 in words is "one hundred fifteen million, one hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 3562 5343 5387 7124 10686 10774 16161 21372 21548 32322 64644 70031 140062 210093 280124 420186 738019 840372 1476038 2214057 2952076 4428114 8856228 9594247 19188494 28782741 38376988 57565482 115130964