Search a number
-
+
6390736 = 241123301
BaseRepresentation
bin11000011000001111010000
3110000200102221
4120120033100
53114000421
6344550424
7105214612
oct30301720
913020387
106390736
113675500
122182414
131429b01
14bc4db2
15863841
hex6183d0

6390736 has 30 divisors (see below), whose sum is σ = 13614146. Its totient is φ = 2904000.

The previous prime is 6390733. The next prime is 6390749. The reversal of 6390736 is 6370936.

It can be written as a sum of positive squares in only one way, i.e., 4648336 + 1742400 = 2156^2 + 1320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6390733) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286 + ... + 3586.

Almost surely, 26390736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6390736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807073).

6390736 is an abundant number, since it is smaller than the sum of its proper divisors (7223410).

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

6390736 is a wasteful number, since it uses less digits than its factorization.

6390736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 34.

The square root of 6390736 is about 2527.9905063113. The cubic root of 6390736 is about 185.5739274216.

The spelling of 6390736 in words is "six million, three hundred ninety thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 3301 6602 13204 26408 36311 52816 72622 145244 290488 399421 580976 798842 1597684 3195368 6390736