Search a number
-
+
115149294 = 23213796229
BaseRepresentation
bin1101101110100…
…00100111101110
322000200012010200
412313100213232
5213434234134
615232014330
72565516141
oct667204756
9260605120
10115149294
1159aa9407
12326913a6
131ab190a0
1411416058
15a198499
hex6dd09ee

115149294 has 48 divisors (see below), whose sum is σ = 272126400. Its totient is φ = 34976448.

The previous prime is 115149289. The next prime is 115149301. The reversal of 115149294 is 492941511.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15372 + ... + 21600.

It is an arithmetic number, because the mean of its divisors is an integer number (5669300).

Almost surely, 2115149294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115149294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136063200).

115149294 is an abundant number, since it is smaller than the sum of its proper divisors (156977106).

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

115149294 is a wasteful number, since it uses less digits than its factorization.

115149294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6326 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115149294 is about 10730.7639057059. The cubic root of 115149294 is about 486.5047593232.

The spelling of 115149294 in words is "one hundred fifteen million, one hundred forty-nine thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 6229 9243 12458 18486 18687 37374 56061 80977 112122 161954 242931 485862 492091 728793 984182 1457586 1476273 2952546 4428819 6397183 8857638 12794366 19191549 38383098 57574647 115149294