Search a number
-
+
4285840 = 245132317
BaseRepresentation
bin10000010110010110010000
322001202001211
4100112112100
52044121330
6231505504
751300106
oct20262620
98052054
104285840
112468019
121528294
13b70a00
147d7c76
15599d2a
hex416590

4285840 has 60 divisors (see below), whose sum is σ = 10824084. Its totient is φ = 1577472.

The previous prime is 4285817. The next prime is 4285847. The reversal of 4285840 is 485824.

4285840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1926544 + 2359296 = 1388^2 + 1536^2 .

It is not an unprimeable number, because it can be changed into a prime (4285847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13362 + ... + 13678.

Almost surely, 24285840 is an apocalyptic number.

4285840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412042).

4285840 is an abundant number, since it is smaller than the sum of its proper divisors (6538244).

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

4285840 is a wasteful number, since it uses less digits than its factorization.

4285840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 4285840 is about 2070.2270406890. The cubic root of 4285840 is about 162.4346403817.

The spelling of 4285840 in words is "four million, two hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 317 338 520 634 676 845 1040 1268 1352 1585 1690 2536 2704 3170 3380 4121 5072 6340 6760 8242 12680 13520 16484 20605 25360 32968 41210 53573 65936 82420 107146 164840 214292 267865 329680 428584 535730 857168 1071460 2142920 4285840