Search a number
-
+
4213540 = 225457461
BaseRepresentation
bin10000000100101100100100
321221001220001
4100010230210
52034313130
6230151044
750546242
oct20045444
97831801
104213540
112418771
1214b2484
13b46b26
147b9792
155836ca
hex404b24

4213540 has 24 divisors (see below), whose sum is σ = 8887032. Its totient is φ = 1678080.

The previous prime is 4213519. The next prime is 4213543. The reversal of 4213540 is 453124.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 3467044 = 864^2 + 1862^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4213543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8910 + ... + 9370.

It is an arithmetic number, because the mean of its divisors is an integer number (370293).

Almost surely, 24213540 is an apocalyptic number.

It is an amenable number.

4213540 is an abundant number, since it is smaller than the sum of its proper divisors (4673492).

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

4213540 is a wasteful number, since it uses less digits than its factorization.

4213540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4213540 is about 2052.6909168211. The cubic root of 4213540 is about 161.5160581757.

Adding to 4213540 its reverse (453124), we get a palindrome (4666664).

It can be divided in two parts, 4213 and 540, that added together give a triangular number (4753 = T97).

The spelling of 4213540 in words is "four million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 457 461 914 922 1828 1844 2285 2305 4570 4610 9140 9220 210677 421354 842708 1053385 2106770 4213540