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6880032 = 25337963
BaseRepresentation
bin11010001111101100100000
3110221112122000
4122033230200
53230130112
6403244000
7112323255
oct32175440
913845560
106880032
11397a085
122379600
13156b733
14cb142c
1590d7dc
hex68fb20

6880032 has 48 divisors (see below), whose sum is σ = 20069280. Its totient is φ = 2293056.

The previous prime is 6880021. The next prime is 6880051. The reversal of 6880032 is 2300886.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 6879978 and 6880005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3118 + ... + 4845.

It is an arithmetic number, because the mean of its divisors is an integer number (418110).

Almost surely, 26880032 is an apocalyptic number.

It is an amenable number.

6880032 is an abundant number, since it is smaller than the sum of its proper divisors (13189248).

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

6880032 is a wasteful number, since it uses less digits than its factorization.

6880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6880032 is about 2622.9815096565. The cubic root of 6880032 is about 190.1940031347.

The spelling of 6880032 in words is "six million, eight hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 7963 15926 23889 31852 47778 63704 71667 95556 127408 143334 191112 215001 254816 286668 382224 430002 573336 764448 860004 1146672 1720008 2293344 3440016 6880032