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131646090 = 23514812963
BaseRepresentation
bin1111101100011…
…00001010001010
3100011201022111010
413312030022022
5232200133330
621021344350
73155654562
oct766141212
9304638433
10131646090
1168346724
12381080b6
1321373ac4
14136abda2
15b8563b0
hex7d8c28a

131646090 has 32 divisors (see below), whose sum is σ = 316270656. Its totient is φ = 35070080.

The previous prime is 131646077. The next prime is 131646101. The reversal of 131646090 is 90646131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42949 + ... + 45911.

It is an arithmetic number, because the mean of its divisors is an integer number (9883458).

Almost surely, 2131646090 is an apocalyptic number.

131646090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131646090 is an abundant number, since it is smaller than the sum of its proper divisors (184624566).

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

131646090 is a wasteful number, since it uses less digits than its factorization.

131646090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 131646090 is about 11473.7129997225. The cubic root of 131646090 is about 508.7088833390.

131646090 divided by its sum of digits (30) gives a triangular number (4388203 = T2962).

The spelling of 131646090 in words is "one hundred thirty-one million, six hundred forty-six thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 1481 2962 2963 4443 5926 7405 8886 8889 14810 14815 17778 22215 29630 44430 44445 88890 4388203 8776406 13164609 21941015 26329218 43882030 65823045 131646090