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132990 = 235111331
BaseRepresentation
bin100000011101111110
320202102120
4200131332
513223430
62503410
71062504
oct403576
9222376
10132990
1190a10
1264b66
13486c0
1436674
1529610
hex2077e

132990 has 64 divisors (see below), whose sum is σ = 387072. Its totient is φ = 28800.

The previous prime is 132989. The next prime is 133013. The reversal of 132990 is 99231.

Added to its reverse (99231) it gives a triangular number (232221 = T681).

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132990.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4275 + ... + 4305.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2132990 is an apocalyptic number.

132990 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 132990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

132990 is an abundant number, since it is smaller than the sum of its proper divisors (254082).

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

132990 is a wasteful number, since it uses less digits than its factorization.

132990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 132990 is about 364.6779401061. The cubic root of 132990 is about 51.0434078725.

Adding to 132990 its reverse (99231), we get a triangular number (232221 = T681).

It can be divided in two parts, 13 and 2990, that added together give a palindrome (3003).

The spelling of 132990 in words is "one hundred thirty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 31 33 39 55 62 65 66 78 93 110 130 143 155 165 186 195 286 310 330 341 390 403 429 465 682 715 806 858 930 1023 1209 1430 1705 2015 2046 2145 2418 3410 4030 4290 4433 5115 6045 8866 10230 12090 13299 22165 26598 44330 66495 132990