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6707680 = 255753113
BaseRepresentation
bin11001100101100111100000
3110121210012121
4121211213200
53204121210
6355434024
7111004630
oct31454740
913553177
106707680
113871641
1222b5914
13150b155
14c686c0
158c76da
hex6659e0

6707680 has 96 divisors (see below), whose sum is σ = 18615744. Its totient is φ = 2236416.

The previous prime is 6707677. The next prime is 6707681. The reversal of 6707680 is 867076.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6707681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59304 + ... + 59416.

It is an arithmetic number, because the mean of its divisors is an integer number (193914).

Almost surely, 26707680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872).

6707680 is an abundant number, since it is smaller than the sum of its proper divisors (11908064).

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

6707680 is a wasteful number, since it uses less digits than its factorization.

6707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 6707680 is about 2589.9189176497. The cubic root of 6707680 is about 188.5923672582.

The spelling of 6707680 in words is "six million, seven hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 113 140 160 212 224 226 265 280 371 424 452 530 560 565 742 791 848 904 1060 1120 1130 1484 1582 1696 1808 1855 2120 2260 2968 3164 3616 3710 3955 4240 4520 5936 5989 6328 7420 7910 8480 9040 11872 11978 12656 14840 15820 18080 23956 25312 29680 29945 31640 41923 47912 59360 59890 63280 83846 95824 119780 126560 167692 191648 209615 239560 335384 419230 479120 670768 838460 958240 1341536 1676920 3353840 6707680