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132084444 = 22329383991
BaseRepresentation
bin1111101111101…
…11001011011100
3100012112120210110
413313313023130
5232303200234
621035010020
73162461562
oct767671334
9305476713
10132084444
1168615aa8
1238299910
132149849b
1413783a32
15b8e11e9
hex7df72dc

132084444 has 48 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 42356160.

The previous prime is 132084439. The next prime is 132084451. The reversal of 132084444 is 444480231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132789 + ... + 133779.

It is an arithmetic number, because the mean of its divisors is an integer number (6666240).

Almost surely, 2132084444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132084444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

132084444 is an abundant number, since it is smaller than the sum of its proper divisors (187895076).

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

132084444 is a wasteful number, since it uses less digits than its factorization.

132084444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 132084444 is about 11492.7996589169. The cubic root of 132084444 is about 509.2728892588.

The spelling of 132084444 in words is "one hundred thirty-two million, eighty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 383 766 991 1149 1532 1982 2298 2973 3964 4596 5946 11107 11892 22214 28739 33321 44428 57478 66642 86217 114956 133284 172434 344868 379553 759106 1138659 1518212 2277318 4554636 11007037 22014074 33021111 44028148 66042222 132084444