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132246060 = 223517317409
BaseRepresentation
bin1111110000111…
…10101000101100
3100012211210111020
413320132220230
5232323333220
621042254140
73164034012
oct770365054
9305753436
10132246060
1168716471
1238357350
1321523c0b
14137c68b2
15b924040
hex7e1ea2c

132246060 has 96 divisors (see below), whose sum is σ = 394269120. Its totient is φ = 33005568.

The previous prime is 132246053. The next prime is 132246089. The reversal of 132246060 is 60642231.

It is a self number, because there is not a number n which added to its sum of digits gives 132246060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323136 + ... + 323544.

It is an arithmetic number, because the mean of its divisors is an integer number (4106970).

Almost surely, 2132246060 is an apocalyptic number.

132246060 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 132246060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197134560).

132246060 is an abundant number, since it is smaller than the sum of its proper divisors (262023060).

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

132246060 is a wasteful number, since it uses less digits than its factorization.

132246060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132246060 is about 11499.8286943763. The cubic root of 132246060 is about 509.4805167885.

Adding to 132246060 its reverse (60642231), we get a palindrome (192888291).

The spelling of 132246060 in words is "one hundred thirty-two million, two hundred forty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 317 340 409 510 634 818 951 1020 1227 1268 1585 1636 1902 2045 2454 3170 3804 4090 4755 4908 5389 6135 6340 6953 8180 9510 10778 12270 13906 16167 19020 20859 21556 24540 26945 27812 32334 34765 41718 53890 64668 69530 80835 83436 104295 107780 129653 139060 161670 208590 259306 323340 388959 417180 518612 648265 777918 1296530 1555836 1944795 2204101 2593060 3889590 4408202 6612303 7779180 8816404 11020505 13224606 22041010 26449212 33061515 44082020 66123030 132246060