Search a number
-
+
202616020 = 22528613541
BaseRepresentation
bin11000001001110…
…10110011010100
3112010020221221001
430010322303110
5403332203040
632034433044
75010131155
oct1404726324
9463227831
10202616020
11a440a462
1257a32784
1332c91c49
141cca392c
1512bc459a
hexc13acd4

202616020 has 24 divisors (see below), whose sum is σ = 425762568. Its totient is φ = 80995200.

The previous prime is 202615967. The next prime is 202616021. The reversal of 202616020 is 20616202.

202616020 is digitally balanced in base 3, 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 4 ways, for example, as 18905104 + 183710916 = 4348^2 + 13554^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202616021) 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 7 ways as a sum of consecutive naturals, for example, 55450 + ... + 58990.

It is an arithmetic number, because the mean of its divisors is an integer number (17740107).

Almost surely, 2202616020 is an apocalyptic number.

202616020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202616020 is an abundant number, since it is smaller than the sum of its proper divisors (223146548).

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

202616020 is a wasteful number, since it uses less digits than its factorization.

202616020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 202616020 is about 14234.3254142934. The cubic root of 202616020 is about 587.3422736390.

The spelling of 202616020 in words is "two hundred two million, six hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 2861 3541 5722 7082 11444 14164 14305 17705 28610 35410 57220 70820 10130801 20261602 40523204 50654005 101308010 202616020