Search a number
-
+
2820042 = 23352223
BaseRepresentation
bin1010110000011111001010
312022021101000
422300133022
51210220132
6140235430
732653461
oct12603712
95267330
102820042
111656815
12b3bb76
13779784
145359d8
153aa87c
hex2b07ca

2820042 has 16 divisors (see below), whose sum is σ = 6266880. Its totient is φ = 939996.

The previous prime is 2820031. The next prime is 2820043. The reversal of 2820042 is 2400282.

2820042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2819997 and 2820024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820043) 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 7 ways as a sum of consecutive naturals, for example, 26058 + ... + 26165.

It is an arithmetic number, because the mean of its divisors is an integer number (391680).

22820042 is an apocalyptic number.

2820042 is an abundant number, since it is smaller than the sum of its proper divisors (3446838).

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

2820042 is a wasteful number, since it uses less digits than its factorization.

2820042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52234 (or 52228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2820042 is about 1679.2980676461. The cubic root of 2820042 is about 141.2814658278.

The spelling of 2820042 in words is "two million, eight hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 52223 104446 156669 313338 470007 940014 1410021 2820042