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2420026000 = 24537172859
BaseRepresentation
bin1001000000111110…
…1010101010010000
320020122201001120121
42100033222222100
514424011313000
61040045320024
7113653611250
oct22017525220
96218631517
102420026000
111032050397
12576566014
132c74aab62
1418d593960
15e26ceb1a
hex903eaa90

2420026000 has 80 divisors (see below), whose sum is σ = 6687607680. Its totient is φ = 829718400.

The previous prime is 2420025989. The next prime is 2420026003. The reversal of 2420026000 is 6200242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×24200260003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2420026003) 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 15 ways as a sum of consecutive naturals, for example, 72430 + ... + 100429.

It is an arithmetic number, because the mean of its divisors is an integer number (83595096).

Almost surely, 22420026000 is an apocalyptic number.

2420026000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420026000 is an abundant number, since it is smaller than the sum of its proper divisors (4267581680).

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

2420026000 is a wasteful number, since it uses less digits than its factorization.

2420026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172889 (or 172873 counting only the distinct ones).

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

The square root of 2420026000 is about 49193.7597668647. The cubic root of 2420026000 is about 1342.5794970188.

Adding to 2420026000 its reverse (6200242), we get a palindrome (2426226242).

The spelling of 2420026000 in words is "two billion, four hundred twenty million, twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 172859 345718 691436 864295 1210013 1382872 1728590 2420026 2765744 3457180 4321475 4840052 6050065 6914360 8642950 9680104 12100130 13828720 17285900 19360208 21607375 24200260 30250325 34571800 43214750 48400520 60500650 69143600 86429500 96801040 121001300 151251625 172859000 242002600 302503250 345718000 484005200 605006500 1210013000 2420026000