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6485640 = 2335721103
BaseRepresentation
bin11000101111011010001000
3110012111121220
4120233122020
53130020030
6351002040
7106061400
oct30573210
913174556
106485640
11372a837
122209320
131461075
14c0b800
15881a10
hex62f688

6485640 has 96 divisors (see below), whose sum is σ = 22654080. Its totient is φ = 1481088.

The previous prime is 6485629. The next prime is 6485657. The reversal of 6485640 is 465846.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5329 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (235980).

Almost surely, 26485640 is an apocalyptic number.

6485640 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 6485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327040).

6485640 is an abundant number, since it is smaller than the sum of its proper divisors (16168440).

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

6485640 is a wasteful number, since it uses less digits than its factorization.

6485640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6485640 is about 2546.6919719511. The cubic root of 6485640 is about 186.4880235345.

The spelling of 6485640 in words is "six million, four hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1103 1176 1470 1960 2206 2940 3309 4412 5515 5880 6618 7721 8824 11030 13236 15442 16545 22060 23163 26472 30884 33090 38605 44120 46326 54047 61768 66180 77210 92652 108094 115815 132360 154420 162141 185304 216188 231630 270235 308840 324282 432376 463260 540470 648564 810705 926520 1080940 1297128 1621410 2161880 3242820 6485640