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260020040020 = 225131516623027
BaseRepresentation
bin1111001000101001100…
…1101111000101010100
3220212011020120121222121
43302022121233011110
513230010112240040
6315241311505324
724533352605266
oct3621231570524
9825136517877
10260020040020
11a0301596664
1242488228244
131b69ac74a60
14c8294adb36
156b6c834c4a
hex3c8a66f154

260020040020 has 48 divisors (see below), whose sum is σ = 591939750528. Its totient is φ = 95371574400.

The previous prime is 260020039963. The next prime is 260020040029. The reversal of 260020040020 is 20040020062.

260020040020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2600200400202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 260020039976 and 260020040003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260020040029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3272254 + ... + 3350773.

It is an arithmetic number, because the mean of its divisors is an integer number (12332078136).

Almost surely, 2260020040020 is an apocalyptic number.

260020040020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260020040020 is an abundant number, since it is smaller than the sum of its proper divisors (331919710508).

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

260020040020 is a wasteful number, since it uses less digits than its factorization.

260020040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623200 (or 6623198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 260020040020 its reverse (20040020062), we get a palindrome (280060060082).

The spelling of 260020040020 in words is "two hundred sixty billion, twenty million, forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1510 1963 3020 3926 7852 9815 19630 39260 6623027 13246054 26492108 33115135 66230270 86099351 132460540 172198702 344397404 430496755 860993510 1000077077 1721987020 2000154154 4000308308 5000385385 10000770770 13001002001 20001541540 26002004002 52004008004 65005010005 130010020010 260020040020