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420412020 = 223571000981
BaseRepresentation
bin11001000011101…
…111101001110100
31002022002010212120
4121003233221310
51330111141040
6105414515540
713263305010
oct3103575164
91068063776
10420412020
111a6347856
12b8965bb0
136913a412
143db99540
1526d967d0
hex190efa74

420412020 has 48 divisors (see below), whose sum is σ = 1345319808. Its totient is φ = 96094080.

The previous prime is 420411973. The next prime is 420412021. The reversal of 420412020 is 20214024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420412021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500071 + ... + 500910.

It is an arithmetic number, because the mean of its divisors is an integer number (28027496).

Almost surely, 2420412020 is an apocalyptic number.

It is an amenable number.

420412020 is an abundant number, since it is smaller than the sum of its proper divisors (924907788).

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

420412020 is a wasteful number, since it uses less digits than its factorization.

420412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001000 (or 1000998 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420412020 is about 20503.9513265127. The cubic root of 420412020 is about 749.1320448148.

Adding to 420412020 its reverse (20214024), we get a palindrome (440626044).

The spelling of 420412020 in words is "four hundred twenty million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1000981 2001962 3002943 4003924 5004905 6005886 7006867 10009810 12011772 14013734 15014715 20019620 21020601 28027468 30029430 35034335 42041202 60058860 70068670 84082404 105103005 140137340 210206010 420412020