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6820660 = 22571143103
BaseRepresentation
bin11010000001001100110100
3110211112012001
4122001030310
53221230120
6402105044
7111655210
oct32011464
913745161
106820660
113939510
12234b184
13154a6c2
14c97940
158eae0a
hex681334

6820660 has 96 divisors (see below), whose sum is σ = 18450432. Its totient is φ = 2056320.

The previous prime is 6820643. The next prime is 6820663. The reversal of 6820660 is 660286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66169 + ... + 66271.

It is an arithmetic number, because the mean of its divisors is an integer number (192192).

Almost surely, 26820660 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 6820660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225216).

6820660 is an abundant number, since it is smaller than the sum of its proper divisors (11629772).

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

6820660 is a wasteful number, since it uses less digits than its factorization.

6820660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6820660 is about 2611.6393319140. The cubic root of 6820660 is about 189.6453217036.

The spelling of 6820660 in words is "six million, eight hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 55 70 77 86 103 110 140 154 172 206 215 220 301 308 385 412 430 473 515 602 721 770 860 946 1030 1133 1204 1442 1505 1540 1892 2060 2266 2365 2884 3010 3311 3605 4429 4532 4730 5665 6020 6622 7210 7931 8858 9460 11330 13244 14420 15862 16555 17716 22145 22660 31003 31724 33110 39655 44290 48719 62006 66220 79310 88580 97438 124012 155015 158620 194876 243595 310030 341033 487190 620060 682066 974380 1364132 1705165 3410330 6820660