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6814740 = 2235532143
BaseRepresentation
bin11001111111110000010100
3110211020001210
4121333300110
53221032430
6402021420
7111632022
oct31776024
913736053
106814740
113935019
122347870
131547aba
14c95712
158e92b0
hex67fc14

6814740 has 48 divisors (see below), whose sum is σ = 19450368. Its totient is φ = 1782144.

The previous prime is 6814729. The next prime is 6814741. The reversal of 6814740 is 474186.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6814698 and 6814707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109 + ... + 4251.

It is an arithmetic number, because the mean of its divisors is an integer number (405216).

Almost surely, 26814740 is an apocalyptic number.

6814740 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 6814740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725184).

6814740 is an abundant number, since it is smaller than the sum of its proper divisors (12635628).

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

6814740 is a wasteful number, since it uses less digits than its factorization.

6814740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6814740 is about 2610.5056981359. The cubic root of 6814740 is about 189.5904381939.

The spelling of 6814740 in words is "six million, eight hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2143 3180 4286 6429 8572 10715 12858 21430 25716 32145 42860 64290 113579 128580 227158 340737 454316 567895 681474 1135790 1362948 1703685 2271580 3407370 6814740