Search a number
-
+
131970 = 2355383
BaseRepresentation
bin100000001110000010
320201000210
4200032002
513210340
62454550
71056516
oct401602
9221023
10131970
1190173
1264456
13480b7
1436146
1529180
hex20382

131970 has 32 divisors (see below), whose sum is σ = 326592. Its totient is φ = 34112.

The previous prime is 131969. The next prime is 132001. The reversal of 131970 is 79131.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2131970 is an apocalyptic number.

131970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

131970 is an abundant number, since it is smaller than the sum of its proper divisors (194622).

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

131970 is a wasteful number, since it uses less digits than its factorization.

131970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 131970 is about 363.2767540044. The cubic root of 131970 is about 50.9125760988.

The spelling of 131970 in words is "one hundred thirty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 53 83 106 159 166 249 265 318 415 498 530 795 830 1245 1590 2490 4399 8798 13197 21995 26394 43990 65985 131970