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131168982 = 2372676659
BaseRepresentation
bin1111101000101…
…11101011010110
3100010211002000110
413310113223112
5232034401412
621003223450
73151626600
oct764275326
9303732013
10131168982
116805021a
1237b17b86
13212378a9
14135c6170
15b7aed3c
hex7d17ad6

131168982 has 48 divisors (see below), whose sum is σ = 309769920. Its totient is φ = 36911952.

The previous prime is 131168969. The next prime is 131168987. The reversal of 131168982 is 289861131.

It is a self number, because there is not a number n which added to its sum of digits gives 131168982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131168987) 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 23 ways as a sum of consecutive naturals, for example, 16369 + ... + 23027.

It is an arithmetic number, because the mean of its divisors is an integer number (6453540).

Almost surely, 2131168982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131168982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154884960).

131168982 is an abundant number, since it is smaller than the sum of its proper divisors (178600938).

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

131168982 is a wasteful number, since it uses less digits than its factorization.

131168982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6738 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 131168982 is about 11452.9027761524. The cubic root of 131168982 is about 508.0935900272.

The spelling of 131168982 in words is "one hundred thirty-one million, one hundred sixty-eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1407 2814 3283 6566 6659 9849 13318 19698 19977 39954 46613 93226 139839 279678 326291 446153 652582 892306 978873 1338459 1957746 2676918 3123071 6246142 9369213 18738426 21861497 43722994 65584491 131168982