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2402260020 = 2232513345889
BaseRepresentation
bin1000111100101111…
…1001010000110100
320012102021110020100
42033023321100310
514404434310040
61034212434100
7113346605346
oct21713712064
96172243210
102402260020
111023016566
12570618930
132c38ca544
1418b08b296
15e0d70b30
hex8f2f9434

2402260020 has 36 divisors (see below), whose sum is σ = 7286855940. Its totient is φ = 640602624.

The previous prime is 2402260019. The next prime is 2402260027. The reversal of 2402260020 is 200622042.

It is a happy number.

2402260020 is a `hidden beast` number, since 2 + 40 + 2 + 2 + 600 + 20 = 666.

2402260020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 568536336 + 1833723684 = 23844^2 + 42822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2402259975 and 2402260002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402260027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6672765 + ... + 6673124.

It is an arithmetic number, because the mean of its divisors is an integer number (202412665).

Almost surely, 22402260020 is an apocalyptic number.

2402260020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402260020 is an abundant number, since it is smaller than the sum of its proper divisors (4884595920).

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

2402260020 is a wasteful number, since it uses less digits than its factorization.

2402260020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345904 (or 13345899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2402260020 is about 49012.8556605305. The cubic root of 2402260020 is about 1339.2860271664.

Adding to 2402260020 its reverse (200622042), we get a palindrome (2602882062).

The spelling of 2402260020 in words is "two billion, four hundred two million, two hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13345889 26691778 40037667 53383556 66729445 80075334 120113001 133458890 160150668 200188335 240226002 266917780 400376670 480452004 600565005 800753340 1201130010 2402260020