Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
6264 = 233329
BaseRepresentation
bin1100001111000
322121000
41201320
5200024
645000
724156
oct14170
98530
106264
114785
123760
132b0b
1423d6
151cc9
hex1878

6264 has 32 divisors (see below), whose sum is σ = 18000. Its totient is φ = 2016.

The previous prime is 6263. The next prime is 6269. The reversal of 6264 is 4626.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 230.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000).

6264 is an abundant number, since it is smaller than the sum of its proper divisors (11736).

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

6264 is a wasteful number, since it uses less digits than its factorization.

6264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 34 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 6264 is about 79.1454357496. The cubic root of 6264 is about 18.4339009541.

It can be divided in two parts, 626 and 4, that added together give a triangular number (630 = T35).

The spelling of 6264 in words is "six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264