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132084024 = 23328319447
BaseRepresentation
bin1111101111101…
…11000100111000
3100012112120012220
413313313010320
5232303142044
621035004040
73162460422
oct767670470
9305476186
10132084024
1168615756
1238299620
1321498237
1413783812
15b8e1019
hex7df7138

132084024 has 32 divisors (see below), whose sum is σ = 331393920. Its totient is φ = 43870176.

The previous prime is 132084023. The next prime is 132084031. The reversal of 132084024 is 420480231.

132084024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132083985 and 132084003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132084023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2932 + ... + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (10356060).

Almost surely, 2132084024 is an apocalyptic number.

It is an amenable number.

132084024 is an abundant number, since it is smaller than the sum of its proper divisors (199309896).

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

132084024 is a wasteful number, since it uses less digits than its factorization.

132084024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19739 (or 19735 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 132084024 is about 11492.7813865922. The cubic root of 132084024 is about 509.2723494657.

The spelling of 132084024 in words is "one hundred thirty-two million, eighty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 283 566 849 1132 1698 2264 3396 6792 19447 38894 58341 77788 116682 155576 233364 466728 5503501 11007002 16510503 22014004 33021006 44028008 66042012 132084024