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6864132 = 22311149349
BaseRepresentation
bin11010001011110100000100
3110220201211010
4122023310010
53224123012
6403042220
7112226022
oct32136404
913821733
106864132
113969140
122370370
131564422
14ca9712
15908c3c
hex68bd04

6864132 has 48 divisors (see below), whose sum is σ = 17640000. Its totient is φ = 2060160.

The previous prime is 6864131. The next prime is 6864139. The reversal of 6864132 is 2314686.

It is a super-2 number, since 2×68641322 = 94232616226848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6864132.

It is not an unprimeable number, because it can be changed into a prime (6864131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19494 + ... + 19842.

It is an arithmetic number, because the mean of its divisors is an integer number (367500).

Almost surely, 26864132 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 6864132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820000).

6864132 is an abundant number, since it is smaller than the sum of its proper divisors (10775868).

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

6864132 is a wasteful number, since it uses less digits than its factorization.

6864132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 6864132 is about 2619.9488544626. The cubic root of 6864132 is about 190.0473750747.

It can be divided in two parts, 6864 and 132, that added together give a palindrome (6996).

The spelling of 6864132 in words is "six million, eight hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 349 447 596 698 894 1047 1396 1639 1788 2094 3278 3839 4188 4917 6556 7678 9834 11517 15356 19668 23034 46068 52001 104002 156003 208004 312006 572011 624012 1144022 1716033 2288044 3432066 6864132