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6883680 = 253514341
BaseRepresentation
bin11010010000100101100000
3110221201122010
4122100211200
53230234210
6403312520
7112340016
oct32204540
913851563
106883680
1139818a1
12237b740
1315702ab
14cb28b6
1590e920
hex690960

6883680 has 48 divisors (see below), whose sum is σ = 21685104. Its totient is φ = 1835520.

The previous prime is 6883673. The next prime is 6883687. The reversal of 6883680 is 863886.

It is an interprime number because it is at equal distance from previous prime (6883673) and next prime (6883687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6883687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6691 + ... + 7650.

It is an arithmetic number, because the mean of its divisors is an integer number (451773).

Almost surely, 26883680 is an apocalyptic number.

6883680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6883680 is an abundant number, since it is smaller than the sum of its proper divisors (14801424).

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

6883680 is a wasteful number, since it uses less digits than its factorization.

6883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14359 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6883680 is about 2623.6768093651. The cubic root of 6883680 is about 190.2276127230.

The spelling of 6883680 in words is "six million, eight hundred eighty-three thousand, six hundred 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 14341 28682 43023 57364 71705 86046 114728 143410 172092 215115 229456 286820 344184 430230 458912 573640 688368 860460 1147280 1376736 1720920 2294560 3441840 6883680