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131677006 = 23710871637
BaseRepresentation
bin1111101100100…
…11101101001110
3100011202212220011
413312103231032
5232202131011
621022143434
73156143656
oct766235516
9304685804
10131677006
116836797a
1238121b7a
1321384bb6
14136b9366
15b860621
hex7d93b4e

131677006 has 16 divisors (see below), whose sum is σ = 203164416. Its totient is φ = 63961056.

The previous prime is 131676997. The next prime is 131677037. The reversal of 131677006 is 600776131.

131677006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79620 + ... + 81256.

It is an arithmetic number, because the mean of its divisors is an integer number (12697776).

Almost surely, 2131677006 is an apocalyptic number.

131677006 is a deficient number, since it is larger than the sum of its proper divisors (71487410).

131677006 is a wasteful number, since it uses less digits than its factorization.

131677006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 131677006 is about 11475.0601741342. The cubic root of 131677006 is about 508.7487022527.

The spelling of 131677006 in words is "one hundred thirty-one million, six hundred seventy-seven thousand, six".

Divisors: 1 2 37 74 1087 1637 2174 3274 40219 60569 80438 121138 1779419 3558838 65838503 131677006