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2421120320 = 26518014201
BaseRepresentation
bin1001000001001111…
…0101110101000000
320020201202122200222
42100103311311000
514424301322240
61040125002212
7113666116553
oct22023656500
96221678628
102421120320
111032728593
125769b3368
132c77a1c98
1418d79a69a
15e2848eb5
hex904f5d40

2421120320 has 56 divisors (see below), whose sum is σ = 5769867048. Its totient is φ = 967680000.

The previous prime is 2421120319. The next prime is 2421120341. The reversal of 2421120320 is 230211242.

It can be written as a sum of positive squares in 4 ways, for example, as 60715264 + 2360405056 = 7792^2 + 48584^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 574220 + ... + 578420.

Almost surely, 22421120320 is an apocalyptic number.

2421120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421120320 is an abundant number, since it is smaller than the sum of its proper divisors (3348746728).

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

2421120320 is a wasteful number, since it uses less digits than its factorization.

2421120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2421120320 is about 49204.8810586917. The cubic root of 2421120320 is about 1342.7818350922.

Adding to 2421120320 its reverse (230211242), we get a palindrome (2651331562).

The spelling of 2421120320 in words is "two billion, four hundred twenty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1801 3602 4201 7204 8402 9005 14408 16804 18010 21005 28816 33608 36020 42010 57632 67216 72040 84020 115264 134432 144080 168040 268864 288160 336080 576320 672160 1344320 7566001 15132002 30264004 37830005 60528008 75660010 121056016 151320020 242112032 302640040 484224064 605280080 1210560160 2421120320