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132131340 = 223251166733
BaseRepresentation
bin1111110000000…
…10101000001100
3100012121222010100
413320002220030
5232311200330
621040011100
73163045365
oct770025014
9305558110
10132131340
1168648260
1238300a90
13214b3933
1413796b6c
15b900060
hex7e02a0c

132131340 has 72 divisors (see below), whose sum is σ = 437241168. Its totient is φ = 32031360.

The previous prime is 132131323. The next prime is 132131369. The reversal of 132131340 is 43131231.

132131340 is a `hidden beast` number, since 1 + 321 + 3 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31387 + ... + 35346.

It is an arithmetic number, because the mean of its divisors is an integer number (6072794).

Almost surely, 2132131340 is an apocalyptic number.

132131340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131340 is an abundant number, since it is smaller than the sum of its proper divisors (305109828).

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

132131340 is a wasteful number, since it uses less digits than its factorization.

132131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66759 (or 66754 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132131340 is about 11494.8397118011. The cubic root of 132131340 is about 509.3331538258. Note that the first 3 decimals are identical.

Adding to 132131340 its reverse (43131231), we get a palindrome (175262571).

The spelling of 132131340 in words is "one hundred thirty-two million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 66733 133466 200199 266932 333665 400398 600597 667330 734063 800796 1000995 1201194 1334660 1468126 2001990 2202189 2402388 2936252 3002985 3670315 4003980 4404378 6005970 6606567 7340630 8808756 11010945 12011940 13213134 14681260 22021890 26426268 33032835 44043780 66065670 132131340