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131666140 = 22579167499
BaseRepresentation
bin1111101100100…
…01000011011100
3100011202022222201
413312101003130
5232201304030
621022021244
73156100204
oct766210334
9304668881
10131666140
116835a7a1
1238117824
132137cc78
14136b5404
15b85c2ca
hex7d910dc

131666140 has 48 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 51584832.

The previous prime is 131666123. The next prime is 131666159. The reversal of 131666140 is 41666131.

It is a junction number, because it is equal to n+sod(n) for n = 131666099 and 131666108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263611 + ... + 264109.

It is an arithmetic number, because the mean of its divisors is an integer number (5880000).

Almost surely, 2131666140 is an apocalyptic number.

131666140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131666140 is an abundant number, since it is smaller than the sum of its proper divisors (150573860).

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

131666140 is a wasteful number, since it uses less digits than its factorization.

131666140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 131666140 is about 11474.5867027968. The cubic root of 131666140 is about 508.7347078694.

Subtracting from 131666140 its reverse (41666131), we obtain a palindrome (90000009).

It can be divided in two parts, 13166 and 6140, that added together give a triangular number (19306 = T196).

The spelling of 131666140 in words is "one hundred thirty-one million, six hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 79 158 167 316 334 395 499 668 790 835 998 1580 1670 1996 2495 3340 4990 9980 13193 26386 39421 52772 65965 78842 83333 131930 157684 166666 197105 263860 333332 394210 416665 788420 833330 1666660 6583307 13166614 26333228 32916535 65833070 131666140