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6874080 = 253514321
BaseRepresentation
bin11010001110001111100000
3110221020110120
4122032033200
53224432310
6403200240
7112300023
oct32161740
913836416
106874080
113975664
122376080
131568b05
14cad1ba
1590bb70
hex68e3e0

6874080 has 48 divisors (see below), whose sum is σ = 21654864. Its totient is φ = 1832960.

The previous prime is 6874061. The next prime is 6874111. The reversal of 6874080 is 804786.

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

It is a congruent number.

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, 6681 + ... + 7640.

It is an arithmetic number, because the mean of its divisors is an integer number (451143).

Almost surely, 26874080 is an apocalyptic number.

6874080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6874080 is an abundant number, since it is smaller than the sum of its proper divisors (14780784).

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

6874080 is a wasteful number, since it uses less digits than its factorization.

6874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6874080 is about 2621.8466774394. The cubic root of 6874080 is about 190.1391409233.

The spelling of 6874080 in words is "six million, eight hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 14321 28642 42963 57284 71605 85926 114568 143210 171852 214815 229136 286420 343704 429630 458272 572840 687408 859260 1145680 1374816 1718520 2291360 3437040 6874080