Search a number
-
+
6693264 = 243253877
BaseRepresentation
bin11001100010000110010000
3110121001102200
4121202012100
53203141024
6355243200
7110614614
oct31420620
913531380
106693264
113861826
1222a9500
131504716
14c63344
158c32c9
hex662190

6693264 has 60 divisors (see below), whose sum is σ = 19107036. Its totient is φ = 2186496.

The previous prime is 6693227. The next prime is 6693277. The reversal of 6693264 is 4623966.

6693264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5253264 + 1440000 = 2292^2 + 1200^2 .

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 11 ways as a sum of consecutive naturals, for example, 7194 + ... + 8070.

Almost surely, 26693264 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 6693264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553518).

6693264 is an abundant number, since it is smaller than the sum of its proper divisors (12413772).

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

6693264 is a wasteful number, since it uses less digits than its factorization.

6693264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 935 counting only the distinct ones).

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

The square root of 6693264 is about 2587.1343219864. The cubic root of 6693264 is about 188.4571641484.

The spelling of 6693264 in words is "six million, six hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 877 954 1272 1754 1908 2544 2631 3508 3816 5262 7016 7632 7893 10524 14032 15786 21048 31572 42096 46481 63144 92962 126288 139443 185924 278886 371848 418329 557772 743696 836658 1115544 1673316 2231088 3346632 6693264