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132821880 = 23353113559
BaseRepresentation
bin1111110101010…
…11001101111000
3100020221001100220
413322223031320
5233000300010
621102500040
73201652542
oct772531570
9306831326
10132821880
1168a7a054
1238594620
1321696039
14138d6692
15b9d9970
hex7eab378

132821880 has 64 divisors (see below), whose sum is σ = 399859200. Its totient is φ = 35295360.

The previous prime is 132821861. The next prime is 132821903. The reversal of 132821880 is 88128231.

It is a congruent number.

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, 35541 + ... + 39099.

It is an arithmetic number, because the mean of its divisors is an integer number (6247800).

Almost surely, 2132821880 is an apocalyptic number.

132821880 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 132821880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199929600).

132821880 is an abundant number, since it is smaller than the sum of its proper divisors (267037320).

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

132821880 is a wasteful number, since it uses less digits than its factorization.

132821880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 132821880 is about 11524.8375259697. The cubic root of 132821880 is about 510.2188987275.

The spelling of 132821880 in words is "one hundred thirty-two million, eight hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3559 3732 4665 6220 7118 7464 9330 10677 12440 14236 17795 18660 21354 28472 35590 37320 42708 53385 71180 85416 106770 142360 213540 427080 1106849 2213698 3320547 4427396 5534245 6641094 8854792 11068490 13282188 16602735 22136980 26564376 33205470 44273960 66410940 132821880