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132522705 = 3257260101
BaseRepresentation
bin1111110011000…
…10001011010001
3100020100211222100
413321202023101
5232411211310
621052231013
73166265400
oct771421321
9306324870
10132522705
11688952a7
123846b469
13215bcb03
1413859637
15b97aec0
hex7e622d1

132522705 has 36 divisors (see below), whose sum is σ = 267213492. Its totient is φ = 60580800.

The previous prime is 132522659. The next prime is 132522713. The reversal of 132522705 is 507225231.

132522705 is a `hidden beast` number, since 132 + 522 + 7 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56205009 + 76317696 = 7497^2 + 8736^2 .

It is not a de Polignac number, because 132522705 - 212 = 132518609 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27846 + ... + 32255.

It is an arithmetic number, because the mean of its divisors is an integer number (7422597).

Almost surely, 2132522705 is an apocalyptic number.

132522705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132522705 is an abundant number, since it is smaller than the sum of its proper divisors (134690787).

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

132522705 is a wasteful number, since it uses less digits than its factorization.

132522705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60126 (or 60116 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 132522705 is about 11511.8506331519. The cubic root of 132522705 is about 509.8355294337.

Adding to 132522705 its reverse (507225231), we get a palindrome (639747936).

The spelling of 132522705 in words is "one hundred thirty-two million, five hundred twenty-two thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 60101 180303 300505 420707 540909 901515 1262121 2103535 2704545 2944949 3786363 6310605 8834847 14724745 18931815 26504541 44174235 132522705