Search a number
-
+
6704064 = 2632103113
BaseRepresentation
bin11001100100101111000000
3110121121020200
4121210233000
53204012224
6355405200
7110661243
oct31445700
913547220
106704064
113869954
1222b3800
131509603
14c6725a
158c65c9
hex664bc0

6704064 has 84 divisors (see below), whose sum is σ = 19574256. Its totient is φ = 2193408.

The previous prime is 6704051. The next prime is 6704081. The reversal of 6704064 is 4604076.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59272 + ... + 59384.

Almost surely, 26704064 is an apocalyptic number.

6704064 is a gapful number since it is divisible by the number (64) 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 6704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787128).

6704064 is an abundant number, since it is smaller than the sum of its proper divisors (12870192).

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

6704064 is a wasteful number, since it uses less digits than its factorization.

6704064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6704064 is about 2589.2207321895. The cubic root of 6704064 is about 188.5584721519.

The spelling of 6704064 in words is "six million, seven hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 113 144 192 206 226 288 309 339 412 452 576 618 678 824 904 927 1017 1236 1356 1648 1808 1854 2034 2472 2712 3296 3616 3708 4068 4944 5424 6592 7232 7416 8136 9888 10848 11639 14832 16272 19776 21696 23278 29664 32544 34917 46556 59328 65088 69834 93112 104751 139668 186224 209502 279336 372448 419004 558672 744896 838008 1117344 1676016 2234688 3352032 6704064