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132516045 = 32512592339
BaseRepresentation
bin1111110011000…
…00100011001101
3100020100111211200
413321200203031
5232411003140
621052140113
73166240104
oct771404315
9306314750
10132516045
11688902a2
1238467639
13215b9a7c
141385703b
15b979030
hex7e608cd

132516045 has 24 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 70588896.

The previous prime is 132516031. The next prime is 132516047. The reversal of 132516045 is 540615231.

132516045 is a `hidden beast` number, since 1 + 3 + 2 + 51 + 604 + 5 = 666.

It is not a de Polignac number, because 132516045 - 29 = 132515533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132516047) 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, 55486 + ... + 57824.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2132516045 is an apocalyptic number.

132516045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132516045 is a deficient number, since it is larger than the sum of its proper divisors (97459155).

132516045 is a wasteful number, since it uses less digits than its factorization.

132516045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 132516045 is about 11511.5613623869. The cubic root of 132516045 is about 509.8269886041.

The spelling of 132516045 in words is "one hundred thirty-two million, five hundred sixteen thousand, forty-five".

Divisors: 1 3 5 9 15 45 1259 2339 3777 6295 7017 11331 11695 18885 21051 35085 56655 105255 2944801 8834403 14724005 26503209 44172015 132516045