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4760540 = 2252379131
BaseRepresentation
bin10010001010001111011100
322221212020022
4102022033130
52204314130
6250011312
755315061
oct22121734
98855208
104760540
112761734
121716b38
13ca8ab5
148bcc68
156407e5
hex48a3dc

4760540 has 48 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1784640.

The previous prime is 4760467. The next prime is 4760543. The reversal of 4760540 is 450674.

4760540 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760543) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36275 + ... + 36405.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 24760540 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 4760540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

4760540 is an abundant number, since it is smaller than the sum of its proper divisors (5883940).

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

4760540 is a wasteful number, since it uses less digits than its factorization.

4760540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4760540 is about 2181.8661737146. The cubic root of 4760540 is about 168.2230125976.

The spelling of 4760540 in words is "four million, seven hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 131 158 230 262 316 395 460 524 655 790 1310 1580 1817 2620 3013 3634 6026 7268 9085 10349 12052 15065 18170 20698 30130 36340 41396 51745 60260 103490 206980 238027 476054 952108 1190135 2380270 4760540