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131898 = 23131989
BaseRepresentation
bin100000001100111010
320200221010
4200030322
513210043
62454350
71056354
oct401472
9220833
10131898
1190108
12643b6
1348060
14360d4
1529133
hex2033a

131898 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 38016.

The previous prime is 131893. The next prime is 131899. The reversal of 131898 is 898131.

It is not an unprimeable number, because it can be changed into a prime (131891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2131898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

131898 is an abundant number, since it is smaller than the sum of its proper divisors (170502).

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

131898 is a wasteful number, since it uses less digits than its factorization.

131898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its digits is 1728, while the sum is 30.

The square root of 131898 is about 363.1776424837. The cubic root of 131898 is about 50.9033154781.

The spelling of 131898 in words is "one hundred thirty-one thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 89 114 178 247 267 494 534 741 1157 1482 1691 2314 3382 3471 5073 6942 10146 21983 43966 65949 131898