Search a number
-
+
6480240 = 2435133167
BaseRepresentation
bin11000101110000101110000
3110012020012220
4120232011300
53124331430
6350521040
7106036554
oct30560560
913166186
106480240
113726778
122206180
13145b780
14c09864
15880110
hex62e170

6480240 has 160 divisors (see below), whose sum is σ = 22665216. Its totient is φ = 1520640.

The previous prime is 6480239. The next prime is 6480251. The reversal of 6480240 is 420846.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6480240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96687 + ... + 96753.

Almost surely, 26480240 is an apocalyptic number.

6480240 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 6480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332608).

6480240 is an abundant number, since it is smaller than the sum of its proper divisors (16184976).

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

6480240 is a wasteful number, since it uses less digits than its factorization.

6480240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6480240 is about 2545.6315522872. The cubic root of 6480240 is about 186.4362519825.

The spelling of 6480240 in words is "six million, four hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 67 78 80 93 104 120 124 130 134 155 156 186 195 201 208 240 248 260 268 310 312 335 372 390 402 403 465 496 520 536 620 624 670 744 780 804 806 871 930 1005 1040 1072 1209 1240 1340 1488 1560 1608 1612 1742 1860 2010 2015 2077 2418 2480 2613 2680 3120 3216 3224 3484 3720 4020 4030 4154 4355 4836 5226 5360 6045 6231 6448 6968 7440 8040 8060 8308 8710 9672 10385 10452 12090 12462 13065 13936 16080 16120 16616 17420 19344 20770 20904 24180 24924 26130 27001 31155 32240 33232 34840 41540 41808 48360 49848 52260 54002 62310 69680 81003 83080 96720 99696 104520 108004 124620 135005 162006 166160 209040 216008 249240 270010 324012 405015 432016 498480 540020 648024 810030 1080040 1296048 1620060 2160080 3240120 6480240