Search a number
-
+
6396264 = 23327437
BaseRepresentation
bin11000011001100101101000
3110000222000200
4120121211220
53114140024
6345032200
7105240000
oct30314550
913028020
106396264
113679676
122185660
13142c494
14bc7000
158652c9
hex619968

6396264 has 120 divisors (see below), whose sum is σ = 20755410. Its totient is φ = 1778112.

The previous prime is 6396259. The next prime is 6396281. The reversal of 6396264 is 4626936.

6396264 is a `hidden beast` number, since 6 + 396 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4235364 + 2160900 = 2058^2 + 1470^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 172854 + ... + 172890.

Almost surely, 26396264 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 6396264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377705).

6396264 is an abundant number, since it is smaller than the sum of its proper divisors (14359146).

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

6396264 is a wasteful number, since it uses less digits than its factorization.

6396264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 6396264 is about 2529.0836285105. The cubic root of 6396264 is about 185.6274192794.

It can be divided in two parts, 639 and 6264, that added together give a triangular number (6903 = T117).

The spelling of 6396264 in words is "six million, three hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 343 392 441 444 504 518 588 666 686 777 882 888 1029 1036 1176 1332 1372 1554 1764 1813 2058 2072 2331 2401 2664 2744 3087 3108 3528 3626 4116 4662 4802 5439 6174 6216 7203 7252 8232 9324 9604 10878 12348 12691 14406 14504 16317 18648 19208 21609 21756 24696 25382 28812 32634 38073 43218 43512 50764 57624 65268 76146 86436 88837 101528 114219 130536 152292 172872 177674 228438 266511 304584 355348 456876 533022 710696 799533 913752 1066044 1599066 2132088 3198132 6396264