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115342864 = 24721311317
BaseRepresentation
bin1101101111111…
…11111000010000
322001001000122221
412313333320100
5214011432424
615240110424
72600253400
oct667777020
9261030587
10115342864
115a12088a
1232765414
131ab86220
1411466800
15a1d59e4
hex6dffe10

115342864 has 60 divisors (see below), whose sum is σ = 279984684. Its totient is φ = 45626112.

The previous prime is 115342849. The next prime is 115342867. The reversal of 115342864 is 468243511.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 44782864 = 8400^2 + 6692^2 .

It is not an unprimeable number, because it can be changed into a prime (115342867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4534 + ... + 15850.

Almost surely, 2115342864 is an apocalyptic number.

115342864 is a gapful number since it is divisible by the number (14) 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 115342864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139992342).

115342864 is an abundant number, since it is smaller than the sum of its proper divisors (164641820).

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

115342864 is a wasteful number, since it uses less digits than its factorization.

115342864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11339 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 115342864 is about 10739.7795135654. The cubic root of 115342864 is about 486.7772172283. Note that the first 3 decimals are identical.

The spelling of 115342864 in words is "one hundred fifteen million, three hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 11317 22634 45268 79219 90536 147121 158438 181072 294242 316876 554533 588484 633752 1029847 1109066 1176968 1267504 2059694 2218132 2353936 4119388 4436264 7208929 8238776 8872528 14417858 16477552 28835716 57671432 115342864