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131640435 = 32517172079
BaseRepresentation
bin1111101100010…
…10110001110011
3100011201000201200
413312022301303
5232144443220
621021302243
73155632233
oct766126163
9304630650
10131640435
1168342453
1238104983
1321371364
14136a9cc3
15b854890
hex7d8ac73

131640435 has 24 divisors (see below), whose sum is σ = 241600320. Its totient is φ = 66077952.

The previous prime is 131640427. The next prime is 131640437. The reversal of 131640435 is 534046131.

131640435 is a `hidden beast` number, since 13 + 1 + 640 + 4 + 3 + 5 = 666.

It is not a de Polignac number, because 131640435 - 23 = 131640427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131640399 and 131640408.

It is not an unprimeable number, because it can be changed into a prime (131640437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85275 + ... + 86804.

It is an arithmetic number, because the mean of its divisors is an integer number (10066680).

Almost surely, 2131640435 is an apocalyptic number.

131640435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131640435 is a deficient number, since it is larger than the sum of its proper divisors (109959885).

131640435 is a wasteful number, since it uses less digits than its factorization.

131640435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172107 (or 172104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 131640435 is about 11473.4665642080. The cubic root of 131640435 is about 508.7015991882.

Adding to 131640435 its reverse (534046131), we get a palindrome (665686566).

The spelling of 131640435 in words is "one hundred thirty-one million, six hundred forty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 172079 516237 860395 1548711 2581185 2925343 7743555 8776029 14626715 26328087 43880145 131640435