[go: up one dir, main page]

Search a number
-
+
6768432 = 2432114273
BaseRepresentation
bin11001110100011100110000
3110201212112200
4121310130300
53213042212
6401023200
7111350016
oct31643460
913655480
106768432
113903250
122324b00
13152c9b8
14c828b6
158da6dc
hex674730

6768432 has 60 divisors (see below), whose sum is σ = 20669064. Its totient is φ = 2050560.

The previous prime is 6768413. The next prime is 6768449. The reversal of 6768432 is 2348676.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553 + ... + 3720.

Almost surely, 26768432 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 6768432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334532).

6768432 is an abundant number, since it is smaller than the sum of its proper divisors (13900632).

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

6768432 is a wasteful number, since it uses less digits than its factorization.

6768432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4289 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6768432 is about 2601.6210331253. The cubic root of 6768432 is about 189.1600223645.

The spelling of 6768432 in words is "six million, seven hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 4273 8546 12819 17092 25638 34184 38457 47003 51276 68368 76914 94006 102552 141009 153828 188012 205104 282018 307656 376024 423027 564036 615312 752048 846054 1128072 1692108 2256144 3384216 6768432