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2002420040 = 23550060501
BaseRepresentation
bin111011101011010…
…1000000101001000
312011112220110220012
41313112220011020
513100104420130
6530410451052
7100423201205
oct16726500510
95145813805
102002420040
1193834a8a5
1247a733a88
1325bb13a3a
1414dd28cac
15babde995
hex775a8148

2002420040 has 16 divisors (see below), whose sum is σ = 4505445180. Its totient is φ = 800968000.

The previous prime is 2002420039. The next prime is 2002420067. The reversal of 2002420040 is 400242002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1893468196 + 108951844 = 43514^2 + 10438^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002419997 and 2002420024.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25030211 + ... + 25030290.

Almost surely, 22002420040 is an apocalyptic number.

2002420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002420040 is an abundant number, since it is smaller than the sum of its proper divisors (2503025140).

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

2002420040 is a wasteful number, since it uses less digits than its factorization.

2002420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50060512 (or 50060508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2002420040 is about 44748.4082398469. The cubic root of 2002420040 is about 1260.4290216209.

Adding to 2002420040 its reverse (400242002), we get a palindrome (2402662042).

The spelling of 2002420040 in words is "two billion, two million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 50060501 100121002 200242004 250302505 400484008 500605010 1001210020 2002420040