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132930 = 23257211
BaseRepresentation
bin100000011101000010
320202100100
4200131002
513223210
62503230
71062360
oct403502
9222310
10132930
1190966
1264b16
1348675
1436630
15295c0
hex20742

132930 has 48 divisors (see below), whose sum is σ = 396864. Its totient is φ = 30240.

The previous prime is 132929. The next prime is 132947. The reversal of 132930 is 39231.

132930 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (8268).

2132930 is an apocalyptic number.

132930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198432).

132930 is an abundant number, since it is smaller than the sum of its proper divisors (263934).

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

132930 is a wasteful number, since it uses less digits than its factorization.

132930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 132930 is about 364.5956664581. The cubic root of 132930 is about 51.0357304402.

It can be divided in two parts, 132 and 930, that multiplied together give a triangular number (122760 = T495).

The spelling of 132930 in words is "one hundred thirty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 211 315 422 630 633 1055 1266 1477 1899 2110 2954 3165 3798 4431 6330 7385 8862 9495 13293 14770 18990 22155 26586 44310 66465 132930