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115426032 = 24329101821
BaseRepresentation
bin1101110000101…
…00001011110000
322001012020202020
412320110023300
5214022113112
615241551440
72601051021
oct670241360
9261166666
10115426032
115a178317
12327a5580
131abb5037
1411488c48
15a20048c
hex6e142f0

115426032 has 80 divisors (see below), whose sum is σ = 311899680. Its totient is φ = 36736000.

The previous prime is 115426027. The next prime is 115426057. The reversal of 115426032 is 230624511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 115425993 and 115426011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140182 + ... + 141002.

It is an arithmetic number, because the mean of its divisors is an integer number (3898746).

Almost surely, 2115426032 is an apocalyptic number.

115426032 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 115426032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155949840).

115426032 is an abundant number, since it is smaller than the sum of its proper divisors (196473648).

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

115426032 is a wasteful number, since it uses less digits than its factorization.

115426032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 115426032 is about 10743.6507761561. The cubic root of 115426032 is about 486.8941860628.

The spelling of 115426032 in words is "one hundred fifteen million, four hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 821 1212 1392 1616 1642 2424 2463 2929 3284 4848 4926 5858 6568 8787 9852 11716 13136 17574 19704 23432 23809 35148 39408 46864 47618 70296 71427 82921 95236 140592 142854 165842 190472 248763 285708 331684 380944 497526 571416 663368 995052 1142832 1326736 1990104 2404709 3980208 4809418 7214127 9618836 14428254 19237672 28856508 38475344 57713016 115426032