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132535560 = 23357571459
BaseRepresentation
bin1111110011001…
…01010100001000
3100020101111121110
413321211110020
5232412114220
621052410320
73166351023
oct771452410
9306344543
10132535560
11688a3a23
12384769a0
13215c5911
14138601ba
15b97ebe0
hex7e65508

132535560 has 64 divisors (see below), whose sum is σ = 398404800. Its totient is φ = 35271936.

The previous prime is 132535547. The next prime is 132535561. The reversal of 132535560 is 65535231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132535561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90111 + ... + 91569.

It is an arithmetic number, because the mean of its divisors is an integer number (6225075).

Almost surely, 2132535560 is an apocalyptic number.

132535560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132535560 is an abundant number, since it is smaller than the sum of its proper divisors (265869240).

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

132535560 is a wasteful number, since it uses less digits than its factorization.

132535560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 132535560 is about 11512.4089572947. The cubic root of 132535560 is about 509.8520139644.

The spelling of 132535560 in words is "one hundred thirty-two million, five hundred thirty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 757 1459 1514 2271 2918 3028 3785 4377 4542 5836 6056 7295 7570 8754 9084 11355 11672 14590 15140 17508 18168 21885 22710 29180 30280 35016 43770 45420 58360 87540 90840 175080 1104463 2208926 3313389 4417852 5522315 6626778 8835704 11044630 13253556 16566945 22089260 26507112 33133890 44178520 66267780 132535560