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132680 = 23531107
BaseRepresentation
bin100000011001001000
320202000002
4200121020
513221210
62502132
71061552
oct403110
9222002
10132680
1190759
1264948
1348512
14364d2
15294a5
hex20648

132680 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 50880.

The previous prime is 132679. The next prime is 132689. The reversal of 132680 is 86231.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1187 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2132680 is an apocalyptic number.

132680 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 132680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

132680 is an abundant number, since it is smaller than the sum of its proper divisors (178360).

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

132680 is a wasteful number, since it uses less digits than its factorization.

132680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

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

The square root of 132680 is about 364.2526595648. The cubic root of 132680 is about 51.0037162485.

The spelling of 132680 in words is "one hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 107 124 155 214 248 310 428 535 620 856 1070 1240 2140 3317 4280 6634 13268 16585 26536 33170 66340 132680