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132088528 = 24111357731
BaseRepresentation
bin1111101111110…
…00001011010000
3100012112210101201
413313320023100
5232303313103
621035040544
73162506515
oct767701320
9305483351
10132088528
1168619080
12382a0154
132149a2c0
141378530c
15b8e251d
hex7df82d0

132088528 has 40 divisors (see below), whose sum is σ = 300668256. Its totient is φ = 55420800.

The previous prime is 132088519. The next prime is 132088531. The reversal of 132088528 is 825880231.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26578 + ... + 31153.

Almost surely, 2132088528 is an apocalyptic number.

It is an amenable number.

132088528 is an abundant number, since it is smaller than the sum of its proper divisors (168579728).

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

132088528 is a wasteful number, since it uses less digits than its factorization.

132088528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57763 (or 57757 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 132088528 is about 11492.9773340071. The cubic root of 132088528 is about 509.2781380451.

It can be divided in two parts, 13208 and 8528, that added together give a triangular number (21736 = T208).

The spelling of 132088528 in words is "one hundred thirty-two million, eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 57731 115462 230924 461848 635041 750503 923696 1270082 1501006 2540164 3002012 5080328 6004024 8255533 10160656 12008048 16511066 33022132 66044264 132088528