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115241532 = 22372375297
BaseRepresentation
bin1101101111001…
…11001000111100
322000211212122220
412313213020330
5214000212112
615234005340
72566352100
oct667471074
9260755586
10115241532
115a06173a
1232716850
131ab4c073
141143b900
15a1b598c
hex6de723c

115241532 has 72 divisors (see below), whose sum is σ = 321313104. Its totient is φ = 32030208.

The previous prime is 115241519. The next prime is 115241537. The reversal of 115241532 is 235142511.

It is a happy number.

It is a super-2 number, since 2×1152415322 = 26561221395414048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115241537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19108 + ... + 24404.

It is an arithmetic number, because the mean of its divisors is an integer number (4462682).

Almost surely, 2115241532 is an apocalyptic number.

115241532 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 115241532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160656552).

115241532 is an abundant number, since it is smaller than the sum of its proper divisors (206071572).

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

115241532 is a wasteful number, since it uses less digits than its factorization.

115241532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5346 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 115241532 is about 10735.0608754678. The cubic root of 115241532 is about 486.6346262345.

The spelling of 115241532 in words is "one hundred fifteen million, two hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5297 5439 7252 10594 10878 15891 21188 21756 31782 37079 63564 74158 111237 148316 195989 222474 259553 391978 444948 519106 587967 778659 783956 1038212 1175934 1371923 1557318 2351868 2743846 3114636 4115769 5487692 8231538 9603461 16463076 19206922 28810383 38413844 57620766 115241532