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420444120 = 23353503701
BaseRepresentation
bin11001000011110…
…111011111011000
31002022010202220110
4121003313133120
51330113202440
6105415324320
713263500415
oct3103673730
91068122813
10420444120
111a6369988
12b89806a0
136914bc05
143dba710c
1526da1080
hex190f77d8

420444120 has 32 divisors (see below), whose sum is σ = 1261332720. Its totient is φ = 112118400.

The previous prime is 420444109. The next prime is 420444121. The reversal of 420444120 is 21444024.

420444120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420444121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1751731 + ... + 1751970.

Almost surely, 2420444120 is an apocalyptic number.

420444120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420444120 is an abundant number, since it is smaller than the sum of its proper divisors (840888600).

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

420444120 is a wasteful number, since it uses less digits than its factorization.

420444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503715 (or 3503711 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 420444120 is about 20504.7340875223. The cubic root of 420444120 is about 749.1511106561.

Adding to 420444120 its reverse (21444024), we get a palindrome (441888144).

It can be divided in two parts, 42044 and 4120, that added together give a palindrome (46164).

The spelling of 420444120 in words is "four hundred twenty million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3503701 7007402 10511103 14014804 17518505 21022206 28029608 35037010 42044412 52555515 70074020 84088824 105111030 140148040 210222060 420444120