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6480432 = 243372143
BaseRepresentation
bin11000101110001000110000
3110012020111000
4120232020300
53124333212
6350522000
7106040250
oct30561060
913166430
106480432
113726932
122206300
13145b89a
14c09960
158801dc
hex62e230

6480432 has 80 divisors (see below), whose sum is σ = 21268480. Its totient is φ = 1850688.

The previous prime is 6480421. The next prime is 6480491. The reversal of 6480432 is 2340846.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6480396 and 6480405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (265856).

Almost surely, 26480432 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 6480432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634240).

6480432 is an abundant number, since it is smaller than the sum of its proper divisors (14788048).

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

6480432 is a wasteful number, since it uses less digits than its factorization.

6480432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6480432 is about 2545.6692636711. The cubic root of 6480432 is about 186.4380932418.

The spelling of 6480432 in words is "six million, four hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2143 3024 4286 6429 8572 12858 15001 17144 19287 25716 30002 34288 38574 45003 51432 57861 60004 77148 90006 102864 115722 120008 135009 154296 180012 231444 240016 270018 308592 360024 405027 462888 540036 720048 810054 925776 1080072 1620108 2160144 3240216 6480432