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132581820 = 22357315671
BaseRepresentation
bin1111110011100…
…00100110111100
3100020110212001210
413321300212330
5232420104240
621053404420
73166632630
oct771604674
9306425053
10132581820
1168925758
1238499710
13216109a7
1413872dc0
15b98d780
hex7e709bc

132581820 has 48 divisors (see below), whose sum is σ = 424263168. Its totient is φ = 30304320.

The previous prime is 132581819. The next prime is 132581833. The reversal of 132581820 is 28185231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157416 + ... + 158255.

It is an arithmetic number, because the mean of its divisors is an integer number (8838816).

Almost surely, 2132581820 is an apocalyptic number.

132581820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132581820 is an abundant number, since it is smaller than the sum of its proper divisors (291681348).

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

132581820 is a wasteful number, since it uses less digits than its factorization.

132581820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315690 (or 315688 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 132581820 is about 11514.4179184186. The cubic root of 132581820 is about 509.9113263748.

The spelling of 132581820 in words is "one hundred thirty-two million, five hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 315671 631342 947013 1262684 1578355 1894026 2209697 3156710 3788052 4419394 4735065 6313420 6629091 8838788 9470130 11048485 13258182 18940260 22096970 26516364 33145455 44193940 66290910 132581820