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131640465 = 35117910099
BaseRepresentation
bin1111101100010…
…10110010010001
3100011201000202210
413312022302101
5232144443330
621021302333
73155632305
oct766126221
9304630683
10131640465
1168342480
12381049a9
1321371388
14136a9d05
15b8548b0
hex7d8ac91

131640465 has 32 divisors (see below), whose sum is σ = 232704000. Its totient is φ = 63011520.

The previous prime is 131640451. The next prime is 131640479. The reversal of 131640465 is 564046131.

It is an interprime number because it is at equal distance from previous prime (131640451) and next prime (131640479).

It is not a de Polignac number, because 131640465 - 24 = 131640449 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7986 + ... + 18084.

It is an arithmetic number, because the mean of its divisors is an integer number (7272000).

Almost surely, 2131640465 is an apocalyptic number.

131640465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131640465 is a deficient number, since it is larger than the sum of its proper divisors (101063535).

131640465 is a wasteful number, since it uses less digits than its factorization.

131640465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 131640465 is about 11473.4678715722. The cubic root of 131640465 is about 508.7016378315.

Adding to 131640465 its reverse (564046131), we get a palindrome (695686596).

The spelling of 131640465 in words is "one hundred thirty-one million, six hundred forty thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 79 165 237 395 869 1185 2607 4345 10099 13035 30297 50495 111089 151485 333267 555445 797821 1666335 2393463 3989105 8776031 11967315 26328093 43880155 131640465