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42790120 = 2352346511
BaseRepresentation
bin1010001100111…
…0110011101000
32222111222000021
42203032303220
541423240440
64125050224
71026465352
oct243166350
988458007
1042790120
112217693a
12123b6974
138b327c9
14597c0d2
153b5384a
hex28cece8

42790120 has 32 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 16371520.

The previous prime is 42790079. The next prime is 42790123. The reversal of 42790120 is 2109724.

42790120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427901202 = 3661988739228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42790123) 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, 22336 + ... + 24175.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 242790120 is an apocalyptic number.

42790120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42790120 is an abundant number, since it is smaller than the sum of its proper divisors (57675800).

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

42790120 is a wasteful number, since it uses less digits than its factorization.

42790120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46545 (or 46541 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 42790120 is about 6541.4157489033. The cubic root of 42790120 is about 349.7688814306.

Adding to 42790120 its reverse (2109724), we get a palindrome (44899844).

The spelling of 42790120 in words is "forty-two million, seven hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 46511 93022 186044 232555 372088 465110 930220 1069753 1860440 2139506 4279012 5348765 8558024 10697530 21395060 42790120