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6866680 = 235415379
BaseRepresentation
bin11010001100011011111000
3110220212022111
4122030123320
53224213210
6403102104
7112236322
oct32143370
913825274
106866680
113970047
122371934
131565632
14caa612
1590988a
hex68c6f8

6866680 has 64 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 2595840.

The previous prime is 6866677. The next prime is 6866681. The reversal of 6866680 is 866686.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6866681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86881 + ... + 86959.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 26866680 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 6866680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

6866680 is an abundant number, since it is smaller than the sum of its proper divisors (9462920).

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

6866680 is a wasteful number, since it uses less digits than its factorization.

6866680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 6866680 is about 2620.4350783792. The cubic root of 6866680 is about 190.0708876764.

The spelling of 6866680 in words is "six million, eight hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 53 79 82 106 158 164 205 212 265 316 328 395 410 424 530 632 790 820 1060 1580 1640 2120 2173 3160 3239 4187 4346 6478 8374 8692 10865 12956 16195 16748 17384 20935 21730 25912 32390 33496 41870 43460 64780 83740 86920 129560 167480 171667 343334 686668 858335 1373336 1716670 3433340 6866680