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131676132 = 22372223939
BaseRepresentation
bin1111101100100…
…11011111100100
3100011202211200210
413312103133210
5232202114012
621022135420
73156141300
oct766233744
9304684623
10131676132
1168367255
1238121570
1321384693
14136b8d00
15b86023c
hex7d937e4

131676132 has 36 divisors (see below), whose sum is σ = 357408240. Its totient is φ = 37621584.

The previous prime is 131676131. The next prime is 131676151. The reversal of 131676132 is 231676131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131676132.

It is not an unprimeable number, because it can be changed into a prime (131676131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111382 + ... + 112557.

Almost surely, 2131676132 is an apocalyptic number.

131676132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131676132 is an abundant number, since it is smaller than the sum of its proper divisors (225732108).

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

131676132 is a wasteful number, since it uses less digits than its factorization.

131676132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223960 (or 223951 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 131676132 is about 11475.0220914820. The cubic root of 131676132 is about 508.7475766516.

Subtracting 131676132 from its reverse (231676131), we obtain a palindrome (99999999).

The spelling of 131676132 in words is "one hundred thirty-one million, six hundred seventy-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 223939 447878 671817 895756 1343634 1567573 2687268 3135146 4702719 6270292 9405438 10973011 18810876 21946022 32919033 43892044 65838066 131676132