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132006560 = 2557432741
BaseRepresentation
bin1111101111001…
…00001010100000
3100012101121221212
413313210022200
5232243202220
621033205252
73162015530
oct767441240
9305347855
10132006560
1168572534
1238260828
132146bbba
14137634c0
15b8c80c5
hex7de42a0

132006560 has 96 divisors (see below), whose sum is σ = 364839552. Its totient is φ = 44190720.

The previous prime is 132006559. The next prime is 132006571. The reversal of 132006560 is 65600231.

It is an unprimeable number.

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, 46790 + ... + 49530.

It is an arithmetic number, because the mean of its divisors is an integer number (3800412).

Almost surely, 2132006560 is an apocalyptic number.

132006560 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 132006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182419776).

132006560 is an abundant number, since it is smaller than the sum of its proper divisors (232832992).

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

132006560 is a wasteful number, since it uses less digits than its factorization.

132006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 132006560 is about 11489.4107768849. The cubic root of 132006560 is about 509.1727714678.

Adding to 132006560 its reverse (65600231), we get a palindrome (197606791).

The spelling of 132006560 in words is "one hundred thirty-two million, six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 560 602 688 860 1120 1204 1376 1505 1720 2408 2741 3010 3440 4816 5482 6020 6880 9632 10964 12040 13705 19187 21928 24080 27410 38374 43856 48160 54820 76748 87712 95935 109640 117863 153496 191870 219280 235726 306992 383740 438560 471452 589315 613984 767480 825041 942904 1178630 1534960 1650082 1885808 2357260 3069920 3300164 3771616 4125205 4714520 6600328 8250410 9429040 13200656 16500820 18858080 26401312 33001640 66003280 132006560