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132408920 = 23571727817
BaseRepresentation
bin1111110010001…
…10011001011000
3100020011001220002
413321012121120
5232344041140
621045552132
73165312560
oct771063130
9306131802
10132408920
1168817866
1238415648
1321580097
1413829da0
15b957415
hex7e46658

132408920 has 64 divisors (see below), whose sum is σ = 360521280. Its totient is φ = 42725376.

The previous prime is 132408919. The next prime is 132408931. The reversal of 132408920 is 29804231.

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, 9149 + ... + 18668.

It is an arithmetic number, because the mean of its divisors is an integer number (5633145).

Almost surely, 2132408920 is an apocalyptic number.

132408920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132408920 is an abundant number, since it is smaller than the sum of its proper divisors (228112360).

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

132408920 is a wasteful number, since it uses less digits than its factorization.

132408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27852 (or 27848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 132408920 is about 11506.9074907205. The cubic root of 132408920 is about 509.6895714342.

The spelling of 132408920 in words is "one hundred thirty-two million, four hundred eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 27817 55634 111268 139085 194719 222536 278170 389438 472889 556340 778876 945778 973595 1112680 1557752 1891556 1947190 2364445 3310223 3783112 3894380 4728890 6620446 7788760 9457780 13240892 16551115 18915560 26481784 33102230 66204460 132408920