Search a number
-
+
6685984 = 25432113
BaseRepresentation
bin11001100000010100100000
3110120200110001
4121200110200
53202422414
6355145344
7110554444
oct31402440
913520401
106685984
113857308
1222a5254
131501306
14c60824
158c1074
hex660520

6685984 has 36 divisors (see below), whose sum is σ = 13595526. Its totient is φ = 3236352.

The previous prime is 6685969. The next prime is 6686041. The reversal of 6685984 is 4895866.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 29584 = 2580^2 + 172^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 59112 + ... + 59224.

Almost surely, 26685984 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 6685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797763).

6685984 is an abundant number, since it is smaller than the sum of its proper divisors (6909542).

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

6685984 is a wasteful number, since it uses less digits than its factorization.

6685984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 158 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 6685984 is about 2585.7269770801. The cubic root of 6685984 is about 188.3888135466.

The spelling of 6685984 in words is "six million, six hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 86 113 172 226 344 452 688 904 1376 1808 1849 3616 3698 4859 7396 9718 14792 19436 29584 38872 59168 77744 155488 208937 417874 835748 1671496 3342992 6685984