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131950 = 25271329
BaseRepresentation
bin100000001101101110
320201000001
4200031232
513210300
62454514
71056460
oct401556
9221001
10131950
1190155
126443a
13480a0
1436130
152916a
hex2036e

131950 has 48 divisors (see below), whose sum is σ = 312480. Its totient is φ = 40320.

The previous prime is 131947. The next prime is 131959. The reversal of 131950 is 59131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4536 + ... + 4564.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2131950 is an apocalyptic number.

131950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131950 is the 182-nd decagonal number.

131950 is an abundant number, since it is smaller than the sum of its proper divisors (180530).

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

131950 is a wasteful number, since it uses less digits than its factorization.

131950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 131950 is about 363.2492257390. The cubic root of 131950 is about 50.9100040421.

It can be divided in two parts, 1319 and 50, that added together give a square (1369 = 372).

The spelling of 131950 in words is "one hundred thirty-one thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 29 35 50 58 65 70 91 130 145 175 182 203 290 325 350 377 406 455 650 725 754 910 1015 1450 1885 2030 2275 2639 3770 4550 5075 5278 9425 10150 13195 18850 26390 65975 131950