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2420920420 = 225611984361
BaseRepresentation
bin1001000001001100…
…0101000001100100
320020201101111111021
42100103011001210
514424223423140
61040120420524
7113664325012
oct22023050144
96221344437
102420920420
111032601386
12576917744
132c7731cb9
1418d7478b2
15e2809b4a
hex904c5064

2420920420 has 24 divisors (see below), whose sum is σ = 5167278648. Its totient is φ = 952492800.

The previous prime is 2420920393. The next prime is 2420920421. The reversal of 2420920420 is 240290242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91699776 + 2329220644 = 9576^2 + 48262^2 .

It is not an unprimeable number, because it can be changed into a prime (2420920421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990961 + ... + 993400.

It is an arithmetic number, because the mean of its divisors is an integer number (215303277).

Almost surely, 22420920420 is an apocalyptic number.

2420920420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420920420 is an abundant number, since it is smaller than the sum of its proper divisors (2746358228).

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

2420920420 is a wasteful number, since it uses less digits than its factorization.

2420920420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984431 (or 1984429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2420920420 is about 49202.8497142188. The cubic root of 2420920420 is about 1342.7448784438.

The spelling of 2420920420 in words is "two billion, four hundred twenty million, nine hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1984361 3968722 7937444 9921805 19843610 39687220 121046021 242092042 484184084 605230105 1210460210 2420920420