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6424680 = 2335371447
BaseRepresentation
bin11000100000100001101000
3110002102000010
4120200201220
53121042210
6345411520
7105415563
oct30404150
913072003
106424680
113698a59
122199ba0
13143c3b2
14bd34da
1586d920
hex620868

6424680 has 64 divisors (see below), whose sum is σ = 19808640. Its totient is φ = 1665792.

The previous prime is 6424669. The next prime is 6424681. The reversal of 6424680 is 864246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6424681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (309510).

Almost surely, 26424680 is an apocalyptic number.

6424680 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 6424680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904320).

6424680 is an abundant number, since it is smaller than the sum of its proper divisors (13383960).

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

6424680 is a wasteful number, since it uses less digits than its factorization.

6424680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6424680 is about 2534.6952479539. The cubic root of 6424680 is about 185.9019022548.

The spelling of 6424680 in words is "six million, four hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1447 1480 2220 2894 4341 4440 5788 7235 8682 11576 14470 17364 21705 28940 34728 43410 53539 57880 86820 107078 160617 173640 214156 267695 321234 428312 535390 642468 803085 1070780 1284936 1606170 2141560 3212340 6424680