Search a number
-
+
2420030000 = 24541947271
BaseRepresentation
bin1001000000111110…
…1011101000110000
320020122201021001202
42100033223220300
514424011430000
61040045350332
7113653626023
oct22017535060
96218637052
102420030000
1110320533a3
125765683a8
132c74ac91b
1418d5951ba
15e26d0dd5
hex903eba30

2420030000 has 200 divisors, whose sum is σ = 6321976320. Its totient is φ = 894240000.

The previous prime is 2420029991. The next prime is 2420030009. The reversal of 2420030000 is 300242.

It is an interprime number because it is at equal distance from previous prime (2420029991) and next prime (2420030009).

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (2420030009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8929865 + ... + 8930135.

Almost surely, 22420030000 is an apocalyptic number.

2420030000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160988160).

2420030000 is an abundant number, since it is smaller than the sum of its proper divisors (3901946320).

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

2420030000 is a wasteful number, since it uses less digits than its factorization.

2420030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2420030000 is about 49193.8004224110. The cubic root of 2420030000 is about 1342.5802367237.

Adding to 2420030000 its reverse (300242), we get a palindrome (2420330242).

The spelling of 2420030000 in words is "two billion, four hundred twenty million, thirty thousand".