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132860 = 22571373
BaseRepresentation
bin100000011011111100
320202020202
4200123330
513222420
62503032
71062230
oct403374
9222222
10132860
1190902
1264a78
1348620
14365c0
1529575
hex206fc

132860 has 48 divisors (see below), whose sum is σ = 348096. Its totient is φ = 41472.

The previous prime is 132859. The next prime is 132863. The reversal of 132860 is 68231.

132860 is nontrivially palindromic in base 3 and base 9.

132860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

132860 is an undulating number in base 3.

132860 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (7252).

132860 is a Friedman number, since it can be written as 260*(8^3-1), using all its digits and the basic arithmetic operations.

2132860 is an apocalyptic number.

132860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 364×365.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174048).

132860 is an abundant number, since it is smaller than the sum of its proper divisors (215236).

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

132860 is a wasteful number, since it uses less digits than its factorization.

132860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 132860 is about 364.4996570643. The cubic root of 132860 is about 51.0267705154.

The spelling of 132860 in words is "one hundred thirty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 910 949 1022 1460 1820 1898 2044 2555 3796 4745 5110 6643 9490 10220 13286 18980 26572 33215 66430 132860