Search a number
-
+
131999166 = 23313593187
BaseRepresentation
bin1111101111000…
…10010110111110
3100012101020211000
413313202112332
5232242433131
621033111130
73161655135
oct767422676
9305336730
10131999166
1168567a22
12382584a6
1321468720
141376091c
15b8c5ce6
hex7de25be

131999166 has 64 divisors (see below), whose sum is σ = 321350400. Its totient is φ = 39914208.

The previous prime is 131999149. The next prime is 131999177. The reversal of 131999166 is 661999131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39825 + ... + 43011.

It is an arithmetic number, because the mean of its divisors is an integer number (5021100).

Almost surely, 2131999166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131999166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160675200).

131999166 is an abundant number, since it is smaller than the sum of its proper divisors (189351234).

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

131999166 is a wasteful number, since it uses less digits than its factorization.

131999166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3264 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 131999166 is about 11489.0889978275. The cubic root of 131999166 is about 509.1632646327.

The spelling of 131999166 in words is "one hundred thirty-one million, nine hundred ninety-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 3187 4602 6374 6903 9561 13806 19122 20709 28683 41418 41431 57366 82862 86049 124293 172098 188033 248586 372879 376066 564099 745758 1118637 1128198 1692297 2237274 2444429 3384594 4888858 5076891 7333287 10153782 14666574 21999861 43999722 65999583 131999166