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115310052 = 2232111321723
BaseRepresentation
bin1101101111101…
…11110111100100
322000222100122200
412313313313210
5214004410202
615235254500
72600055624
oct667676744
9260870580
10115310052
115a0a9170
123274a430
131ab74300
1411458884
15a1cae1c
hex6df7de4

115310052 has 108 divisors (see below), whose sum is σ = 344517264. Its totient is φ = 32235840.

The previous prime is 115310009. The next prime is 115310053. The reversal of 115310052 is 250013511.

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

It is not an unprimeable number, because it can be changed into a prime (115310053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66063 + ... + 67785.

Almost surely, 2115310052 is an apocalyptic number.

115310052 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 115310052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172258632).

115310052 is an abundant number, since it is smaller than the sum of its proper divisors (229207212).

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

115310052 is a wasteful number, since it uses less digits than its factorization.

115310052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 115310052 is about 10738.2518130280. The cubic root of 115310052 is about 486.7310544279.

Adding to 115310052 its reverse (250013511), we get a palindrome (365323563).

The spelling of 115310052 in words is "one hundred fifteen million, three hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1521 1716 1723 1859 2028 2574 3042 3446 3718 5148 5169 5577 6084 6892 7436 10338 11154 15507 16731 18953 20676 22308 22399 31014 33462 37906 44798 56859 62028 66924 67197 75812 89596 113718 134394 170577 201591 227436 246389 268788 291187 341154 403182 492778 582374 682308 739167 806364 873561 985556 1164748 1478334 1747122 2217501 2620683 2956668 3203057 3494244 4435002 5241366 6406114 8870004 9609171 10482732 12812228 19218342 28827513 38436684 57655026 115310052