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132515052 = 22323539059
BaseRepresentation
bin1111110011000…
…00010011101100
3100020100110110220
413321200103230
5232410440202
621052131340
73166234155
oct771402354
9306313426
10132515052
116888a57a
1238466b50
13215b9497
141385692c
15b978abc
hex7e604ec

132515052 has 48 divisors (see below), whose sum is σ = 328769280. Its totient is φ = 41449408.

The previous prime is 132515023. The next prime is 132515057. The reversal of 132515052 is 250515231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132515057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10099 + ... + 19157.

It is an arithmetic number, because the mean of its divisors is an integer number (6849360).

Almost surely, 2132515052 is an apocalyptic number.

132515052 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 132515052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164384640).

132515052 is an abundant number, since it is smaller than the sum of its proper divisors (196254228).

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

132515052 is a wasteful number, since it uses less digits than its factorization.

132515052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 132515052 is about 11511.5182317538. The cubic root of 132515052 is about 509.8257151496.

The spelling of 132515052 in words is "one hundred thirty-two million, five hundred fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 1219 2438 3657 4876 7314 9059 14628 18118 27177 36236 54354 108708 208357 416714 480127 625071 833428 960254 1250142 1440381 1920508 2500284 2880762 5761524 11042921 22085842 33128763 44171684 66257526 132515052