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5430768 = 243722309
BaseRepresentation
bin10100101101110111110000
3101012220121120
4110231313300
52342241033
6312222240
764106100
oct24556760
911186546
105430768
11307a242
12199a980
131181b95
14a15200
157241b3
hex52ddf0

5430768 has 60 divisors (see below), whose sum is σ = 16327080. Its totient is φ = 1550976.

The previous prime is 5430767. The next prime is 5430791. The reversal of 5430768 is 8670345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 25430768 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 5430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163540).

5430768 is an abundant number, since it is smaller than the sum of its proper divisors (10896312).

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

5430768 is a wasteful number, since it uses less digits than its factorization.

5430768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5430768 is about 2330.4008238927. The cubic root of 5430768 is about 175.7736415057.

The spelling of 5430768 in words is "five million, four hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2309 2352 4618 6927 9236 13854 16163 18472 27708 32326 36944 48489 55416 64652 96978 110832 113141 129304 193956 226282 258608 339423 387912 452564 678846 775824 905128 1357692 1810256 2715384 5430768