Search a number
-
+
6422920 = 2357229113
BaseRepresentation
bin11000100000000110001000
3110002022120221
4120200012020
53121013140
6345355424
7105410500
oct30400610
913068527
106422920
1136976a9
122198b74
13143b65a
14bd2a00
1586d14a
hex620188

6422920 has 96 divisors (see below), whose sum is σ = 17544600. Its totient is φ = 2107392.

The previous prime is 6422909. The next prime is 6422929. The reversal of 6422920 is 292246.

6422920 = T651 + T652 + ... + T679.

It can be written as a sum of positive squares in 4 ways, for example, as 3261636 + 3161284 = 1806^2 + 1778^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6422929) 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, 56784 + ... + 56896.

Almost surely, 26422920 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 6422920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772300).

6422920 is an abundant number, since it is smaller than the sum of its proper divisors (11121680).

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

6422920 is a wasteful number, since it uses less digits than its factorization.

6422920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6422920 is about 2534.3480423967. The cubic root of 6422920 is about 185.8849251586.

The spelling of 6422920 in words is "six million, four hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 113 116 140 145 196 203 226 232 245 280 290 392 406 452 490 565 580 791 812 904 980 1015 1130 1160 1421 1582 1624 1960 2030 2260 2842 3164 3277 3955 4060 4520 5537 5684 6328 6554 7105 7910 8120 11074 11368 13108 14210 15820 16385 22148 22939 26216 27685 28420 31640 32770 44296 45878 55370 56840 65540 91756 110740 114695 131080 160573 183512 221480 229390 321146 458780 642292 802865 917560 1284584 1605730 3211460 6422920