Search a number
-
+
131983236 = 223371159269
BaseRepresentation
bin1111101110111…
…10011110000100
3100012100102222000
413313132132010
5232241430421
621032505300
73161560530
oct767363604
9305312860
10131983236
1168556a60
123824b230
13214613b8
1413758bc0
15b8c1226
hex7dde784

131983236 has 192 divisors, whose sum is σ = 435456000. Its totient is φ = 33575040.

The previous prime is 131983217. The next prime is 131983237. The reversal of 131983236 is 632389131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131983236.

It is not an unprimeable number, because it can be changed into a prime (131983237) 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 63 ways as a sum of consecutive naturals, for example, 490510 + ... + 490778.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2131983236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131983236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

131983236 is an abundant number, since it is smaller than the sum of its proper divisors (303472764).

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

131983236 is a wasteful number, since it uses less digits than its factorization.

131983236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 131983236 is about 11488.3957104550. The cubic root of 131983236 is about 509.1427814298.

The spelling of 131983236 in words is "one hundred thirty-one million, nine hundred eighty-three thousand, two hundred thirty-six".