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6800664 = 2331371307
BaseRepresentation
bin11001111100010100011000
3110210111202110
4121330110120
53220110124
6401432320
7111543003
oct31742430
913714673
106800664
113925492
12233b6a0
131541580
14c9053a
158e5029
hex67c518

6800664 has 64 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 2056320.

The previous prime is 6800657. The next prime is 6800669. The reversal of 6800664 is 4660086.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800669) 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, 21999 + ... + 22305.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 26800664 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 6800664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

6800664 is an abundant number, since it is smaller than the sum of its proper divisors (11827176).

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

6800664 is a wasteful number, since it uses less digits than its factorization.

6800664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6800664 is about 2607.8082751613. The cubic root of 6800664 is about 189.4598137670.

The spelling of 6800664 in words is "six million, eight hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 307 312 426 568 614 852 921 923 1228 1704 1842 1846 2456 2769 3684 3692 3991 5538 7368 7384 7982 11076 11973 15964 21797 22152 23946 31928 43594 47892 65391 87188 95784 130782 174376 261564 283361 523128 566722 850083 1133444 1700166 2266888 3400332 6800664