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6480640 = 2856183
BaseRepresentation
bin11000101110001100000000
3110012020202201
4120232030000
53124340030
6350522544
7106040665
oct30561400
913166681
106480640
113727001
122206454
13145b9ca
14c09a6c
158802ca
hex62e300

6480640 has 72 divisors (see below), whose sum is σ = 15967728. Its totient is φ = 2519040.

The previous prime is 6480637. The next prime is 6480697. The reversal of 6480640 is 460846.

It is a junction number, because it is equal to n+sod(n) for n = 6480599 and 6480608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78039 + ... + 78121.

It is an arithmetic number, because the mean of its divisors is an integer number (221774).

Almost surely, 26480640 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 6480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983864).

6480640 is an abundant number, since it is smaller than the sum of its proper divisors (9487088).

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

6480640 is an equidigital number, since it uses as much as digits as its factorization.

6480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6480640 is about 2545.7101170400. The cubic root of 6480640 is about 186.4400878984.

It can be divided in two parts, 64806 and 40, that added together give a palindrome (64846).

The spelling of 6480640 in words is "six million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 83 122 128 160 166 244 256 305 320 332 415 488 610 640 664 830 976 1220 1280 1328 1660 1952 2440 2656 3320 3904 4880 5063 5312 6640 7808 9760 10126 10624 13280 15616 19520 20252 21248 25315 26560 39040 40504 50630 53120 78080 81008 101260 106240 162016 202520 324032 405040 648064 810080 1296128 1620160 3240320 6480640