Search a number
-
+
6747006 = 237253433
BaseRepresentation
bin11001101111001101111110
3110200210011010
4121233031332
53211401011
6400340050
7111230400
oct31571576
913623133
106747006
113899142
122314626
131523016
14c78b70
158d41a6
hex66f37e

6747006 has 48 divisors (see below), whose sum is σ = 16030224. Its totient is φ = 1886976.

The previous prime is 6746989. The next prime is 6747007. The reversal of 6747006 is 6007476.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6747007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15366 + ... + 15798.

It is an arithmetic number, because the mean of its divisors is an integer number (333963).

Almost surely, 26747006 is an apocalyptic number.

It is a pronic number, being equal to 2597×2598.

It is a practical number, because each smaller number is the sum of distinct divisors of 6747006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015112).

6747006 is an abundant number, since it is smaller than the sum of its proper divisors (9283218).

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

6747006 is a wasteful number, since it uses less digits than its factorization.

6747006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 6747006 is about 2597.4999518768. The cubic root of 6747006 is about 188.9602111028.

The spelling of 6747006 in words is "six million, seven hundred forty-seven thousand, six".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 433 742 866 1113 1299 2226 2597 2598 3031 5194 6062 7791 9093 15582 18186 21217 22949 42434 45898 63651 68847 127302 137694 160643 321286 481929 963858 1124501 2249002 3373503 6747006