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132089320 = 235111717659
BaseRepresentation
bin1111101111110…
…00010111101000
3100012112211111001
413313320113220
5232303324240
621035044344
73162512026
oct767702750
9305484431
10132089320
1168619730
12382a06b4
132149a77c
1413785716
15b8e289a
hex7df85e8

132089320 has 64 divisors (see below), whose sum is σ = 343310400. Its totient is φ = 45204480.

The previous prime is 132089263. The next prime is 132089333. The reversal of 132089320 is 23980231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350 + ... + 16309.

It is an arithmetic number, because the mean of its divisors is an integer number (5364225).

Almost surely, 2132089320 is an apocalyptic number.

132089320 is a gapful number since it is divisible by the number (10) 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 132089320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171655200).

132089320 is an abundant number, since it is smaller than the sum of its proper divisors (211221080).

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

132089320 is a wasteful number, since it uses less digits than its factorization.

132089320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17698 (or 17694 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 132089320 is about 11493.0117897790. The cubic root of 132089320 is about 509.2791559167.

The spelling of 132089320 in words is "one hundred thirty-two million, eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 17659 35318 70636 88295 141272 176590 194249 300203 353180 388498 600406 706360 776996 971245 1200812 1501015 1553992 1942490 2401624 3002030 3302233 3884980 6004060 6604466 7769960 12008120 13208932 16511165 26417864 33022330 66044660 132089320