Search a number
-
+
6480054 = 233723179
BaseRepresentation
bin11000101110000010110110
3110012012222000
4120232002312
53124330204
6350520130
7106036200
oct30560266
913165860
106480054
113726619
122206046
13145b669
14c09770
15880039
hex62e0b6

6480054 has 96 divisors (see below), whose sum is σ = 17510400. Its totient is φ = 1769040.

The previous prime is 6480053. The next prime is 6480107. The reversal of 6480054 is 4500846.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6480053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81987 + ... + 82065.

It is an arithmetic number, because the mean of its divisors is an integer number (182400).

Almost surely, 26480054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755200).

6480054 is an abundant number, since it is smaller than the sum of its proper divisors (11030346).

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

6480054 is a wasteful number, since it uses less digits than its factorization.

6480054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

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

The square root of 6480054 is about 2545.5950188512. The cubic root of 6480054 is about 186.4344682279.

The spelling of 6480054 in words is "six million, four hundred eighty thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 79 93 98 126 147 158 186 189 217 237 279 294 378 434 441 474 553 558 651 711 837 882 1106 1302 1323 1422 1519 1659 1674 1953 2133 2449 2646 3038 3318 3871 3906 4266 4557 4898 4977 5859 7347 7742 9114 9954 11613 11718 13671 14694 14931 17143 22041 23226 27342 29862 34286 34839 41013 44082 51429 66123 69678 82026 102858 104517 120001 132246 154287 209034 240002 308574 360003 462861 720006 925722 1080009 2160018 3240027 6480054