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132082839 = 3376191129
BaseRepresentation
bin1111101111101…
…10110010010111
3100012112111121000
413313312302113
5232303122324
621034554343
73162454110
oct767666227
9305474530
10132082839
1168614879
12382989b3
1321497835
1413783207
15b8e09c9
hex7df6c97

132082839 has 32 divisors (see below), whose sum is σ = 224192000. Its totient is φ = 75287232.

The previous prime is 132082823. The next prime is 132082861. The reversal of 132082839 is 938280231.

It is a happy number.

It is not a de Polignac number, because 132082839 - 24 = 132082823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132082879) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116427 + ... + 117555.

It is an arithmetic number, because the mean of its divisors is an integer number (7006000).

Almost surely, 2132082839 is an apocalyptic number.

132082839 is a deficient number, since it is larger than the sum of its proper divisors (92109161).

132082839 is a wasteful number, since it uses less digits than its factorization.

132082839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 132082839 is about 11492.7298323766. The cubic root of 132082839 is about 509.2708264716.

The spelling of 132082839 in words is "one hundred thirty-two million, eighty-two thousand, eight hundred thirty-nine".

Divisors: 1 3 7 9 21 27 63 189 619 1129 1857 3387 4333 5571 7903 10161 12999 16713 23709 30483 38997 71127 116991 213381 698851 2096553 4891957 6289659 14675871 18868977 44027613 132082839