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131608104 = 2335483671
BaseRepresentation
bin1111101100000…
…10111000101000
3100011122101101020
413312002320220
5232142424404
621020452440
73155436045
oct766027050
9304571336
10131608104
1168320131
12380aa120
132135c724
141369c1cc
15b849ed9
hex7d82e28

131608104 has 16 divisors (see below), whose sum is σ = 329020320. Its totient is φ = 43869360.

The previous prime is 131608097. The next prime is 131608109. The reversal of 131608104 is 401806131.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5483671 = 131608104 / (1 + 3 + 1 + 6 + 0 + 8 + 1 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (131608109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2741812 + ... + 2741859.

It is an arithmetic number, because the mean of its divisors is an integer number (20563770).

Almost surely, 2131608104 is an apocalyptic number.

It is an amenable number.

131608104 is an abundant number, since it is smaller than the sum of its proper divisors (197412216).

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

131608104 is a wasteful number, since it uses less digits than its factorization.

131608104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483680 (or 5483676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 131608104 is about 11472.0575312365. The cubic root of 131608104 is about 508.6599499335.

The spelling of 131608104 in words is "one hundred thirty-one million, six hundred eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 5483671 10967342 16451013 21934684 32902026 43869368 65804052 131608104