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132109326 = 2332922909
BaseRepresentation
bin1111101111111…
…01010000001110
3100012120211221000
413313331100032
5232304444301
621035321130
73162624246
oct767752016
9305524830
10132109326
1168632768
12382b01a6
13214a68cb
141378cb26
15b8e8786
hex7dfd40e

132109326 has 48 divisors (see below), whose sum is σ = 304153200. Its totient is φ = 42503328.

The previous prime is 132109303. The next prime is 132109331. The reversal of 132109326 is 623901231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132109326.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43960 + ... + 46868.

It is an arithmetic number, because the mean of its divisors is an integer number (6336525).

Almost surely, 2132109326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132109326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152076600).

132109326 is an abundant number, since it is smaller than the sum of its proper divisors (172043874).

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

132109326 is a wasteful number, since it uses less digits than its factorization.

132109326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132109326 is about 11493.8821118019. The cubic root of 132109326 is about 509.3048661065.

The spelling of 132109326 in words is "one hundred thirty-two million, one hundred nine thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 841 1566 1682 2523 2909 5046 5818 7569 8727 15138 17454 22707 26181 45414 52362 78543 84361 157086 168722 253083 506166 759249 1518498 2277747 2446469 4555494 4892938 7339407 14678814 22018221 44036442 66054663 132109326