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6845220 = 22325172237
BaseRepresentation
bin11010000111001100100100
3110212202212200
4122013030210
53223021340
6402414500
7112116624
oct32071444
913782780
106845220
113955a08
122361430
131558935
14ca2884
15903330
hex687324

6845220 has 72 divisors (see below), whose sum is σ = 21995064. Its totient is φ = 1717248.

The previous prime is 6845219. The next prime is 6845227. The reversal of 6845220 is 225486.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 4485924 = 1536^2 + 2118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6845227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942 + ... + 4178.

It is an arithmetic number, because the mean of its divisors is an integer number (305487).

Almost surely, 26845220 is an apocalyptic number.

6845220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6845220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10997532).

6845220 is an abundant number, since it is smaller than the sum of its proper divisors (15149844).

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

6845220 is a wasteful number, since it uses less digits than its factorization.

6845220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6845220 is about 2616.3371342394. The cubic root of 6845220 is about 189.8726755448.

The spelling of 6845220 in words is "six million, eight hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 2237 3060 4474 6711 8948 11185 13422 20133 22370 26844 33555 38029 40266 44740 67110 76058 80532 100665 114087 134220 152116 190145 201330 228174 342261 380290 402660 456348 570435 684522 760580 1140870 1369044 1711305 2281740 3422610 6845220