Search a number
-
+
4230880 = 25531853
BaseRepresentation
bin10000001000111011100000
321221221200021
4100020323200
52040342010
6230403224
750650633
oct20107340
97857607
104230880
11242a7a5
121500514
13b519a4
147c1c1a
155888da
hex408ee0

4230880 has 48 divisors (see below), whose sum is σ = 10329984. Its totient is φ = 1635840.

The previous prime is 4230871. The next prime is 4230883. The reversal of 4230880 is 880324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4534 + ... + 5386.

It is an arithmetic number, because the mean of its divisors is an integer number (215208).

Almost surely, 24230880 is an apocalyptic number.

4230880 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 4230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164992).

4230880 is an abundant number, since it is smaller than the sum of its proper divisors (6099104).

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

4230880 is a wasteful number, since it uses less digits than its factorization.

4230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4230880 is about 2056.9103043157. The cubic root of 4230880 is about 161.7373175216.

The spelling of 4230880 in words is "four million, two hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 853 992 1240 1706 2480 3412 4265 4960 6824 8530 13648 17060 26443 27296 34120 52886 68240 105772 132215 136480 211544 264430 423088 528860 846176 1057720 2115440 4230880