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132940 = 22517223
BaseRepresentation
bin100000011101001100
320202100201
4200131030
513223230
62503244
71062403
oct403514
9222321
10132940
1190975
1264b24
1348682
143663a
15295ca
hex2074c

132940 has 36 divisors (see below), whose sum is σ = 309456. Its totient is φ = 47872.

The previous prime is 132929. The next prime is 132947. The reversal of 132940 is 49231.

It is not an unprimeable number, because it can be changed into a prime (132947) 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 11 ways as a sum of consecutive naturals, for example, 5769 + ... + 5791.

It is an arithmetic number, because the mean of its divisors is an integer number (8596).

2132940 is an apocalyptic number.

132940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154728).

132940 is an abundant number, since it is smaller than the sum of its proper divisors (176516).

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

132940 is a wasteful number, since it uses less digits than its factorization.

132940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 132940 is about 364.6093800220. The cubic root of 132940 is about 51.0370101726.

It can be divided in two parts, 1329 and 40, that added together give a square (1369 = 372).

The spelling of 132940 in words is "one hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 289 340 391 460 578 782 1156 1445 1564 1955 2890 3910 5780 6647 7820 13294 26588 33235 66470 132940