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132131685 = 3572296199
BaseRepresentation
bin1111110000000…
…10101101100101
3100012121222121010
413320002231211
5232311203220
621040012433
73163046400
oct770025545
9305558533
10132131685
1168648544
1238301119
13214b3b3a
1413796d37
15b9001e0
hex7e02b65

132131685 has 48 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 58310784.

The previous prime is 132131683. The next prime is 132131693. The reversal of 132131685 is 586131231.

It is not a de Polignac number, because 132131685 - 21 = 132131683 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18216 + ... + 24414.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2132131685 is an apocalyptic number.

132131685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132131685 is a deficient number, since it is larger than the sum of its proper divisors (122316315).

132131685 is a wasteful number, since it uses less digits than its factorization.

132131685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6243 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 132131685 is about 11494.8547185252. The cubic root of 132131685 is about 509.3335971216. Note that the first 3 decimals are identical.

The spelling of 132131685 in words is "one hundred thirty-two million, one hundred thirty-one thousand, six hundred eighty-five".

Divisors: 1 3 5 7 15 21 29 35 49 87 105 145 147 203 245 435 609 735 1015 1421 3045 4263 6199 7105 18597 21315 30995 43393 92985 130179 179771 216965 303751 539313 650895 898855 911253 1258397 1518755 2696565 3775191 4556265 6291985 8808779 18875955 26426337 44043895 132131685