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840004020 = 22345518521
BaseRepresentation
bin110010000100010…
…111000110110100
32011112121121220000
4302010113012310
53210020112040
6215204111300
726546626212
oct6204270664
92145547800
10840004020
113a11844a9
121b5395530
1310504b4cb
147d7bdcb2
154db2a130
hex321171b4

840004020 has 60 divisors (see below), whose sum is σ = 2635128804. Its totient is φ = 224000640.

The previous prime is 840004013. The next prime is 840004021. The reversal of 840004020 is 20400048.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 661621284 + 178382736 = 25722^2 + 13356^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 840003984 and 840004002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840004021) 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 19 ways as a sum of consecutive naturals, for example, 257641 + ... + 260880.

Almost surely, 2840004020 is an apocalyptic number.

It is an amenable number.

840004020 is an abundant number, since it is smaller than the sum of its proper divisors (1795124784).

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

840004020 is a wasteful number, since it uses less digits than its factorization.

840004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518542 (or 518531 counting only the distinct ones).

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

The square root of 840004020 is about 28982.8228438846. The cubic root of 840004020 is about 943.5403012299.

Adding to 840004020 its reverse (20400048), we get a palindrome (860404068).

The spelling of 840004020 in words is "eight hundred forty million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 518521 1037042 1555563 2074084 2592605 3111126 4666689 5185210 6222252 7777815 9333378 10370420 14000067 15555630 18666756 23333445 28000134 31111260 42000201 46666890 56000268 70000335 84000402 93333780 140000670 168000804 210001005 280001340 420002010 840004020