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6820044 = 223711361
BaseRepresentation
bin11010000001000011001100
3110211111100020
4122001003030
53221220134
6402102140
7111653340
oct32010314
913744306
106820044
113939000
12234a950
13154a33a
14c97620
158eab49
hex6810cc

6820044 has 96 divisors (see below), whose sum is σ = 20332032. Its totient is φ = 1742400.

The previous prime is 6820039. The next prime is 6820057. The reversal of 6820044 is 4400286.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6819996 and 6820023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111774 + ... + 111834.

It is an arithmetic number, because the mean of its divisors is an integer number (211792).

Almost surely, 26820044 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 6820044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166016).

6820044 is an abundant number, since it is smaller than the sum of its proper divisors (13511988).

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

6820044 is a wasteful number, since it uses less digits than its factorization.

6820044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6820044 is about 2611.5213956619. The cubic root of 6820044 is about 189.6396123326.

The spelling of 6820044 in words is "six million, eight hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 61 66 77 84 121 122 132 154 183 231 242 244 308 363 366 427 462 484 671 726 732 847 854 924 1281 1331 1342 1452 1694 1708 2013 2541 2562 2662 2684 3388 3993 4026 4697 5082 5124 5324 7381 7986 8052 9317 9394 10164 14091 14762 15972 18634 18788 22143 27951 28182 29524 37268 44286 51667 55902 56364 81191 88572 103334 111804 155001 162382 206668 243573 310002 324764 487146 568337 620004 974292 1136674 1705011 2273348 3410022 6820044