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2542003420 = 2251111554561
BaseRepresentation
bin1001011110000011…
…1110010011011100
320120011020011010211
42113200332103130
520201223102140
61100123542204
7116664446455
oct22740762334
96504204124
102542003420
111094992880
125ab38a964
13316847b48
141a186612c
15ed2762ea
hex9783e4dc

2542003420 has 24 divisors (see below), whose sum is σ = 5823499248. Its totient is φ = 924364800.

The previous prime is 2542003417. The next prime is 2542003433. The reversal of 2542003420 is 243002452.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2542003391 and 2542003400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5777061 + ... + 5777500.

It is an arithmetic number, because the mean of its divisors is an integer number (242645802).

Almost surely, 22542003420 is an apocalyptic number.

2542003420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542003420 is an abundant number, since it is smaller than the sum of its proper divisors (3281495828).

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

2542003420 is a wasteful number, since it uses less digits than its factorization.

2542003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554581 (or 11554579 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2542003420 is about 50418.2845801005. The cubic root of 2542003420 is about 1364.7676204576.

Adding to 2542003420 its reverse (243002452), we get a palindrome (2785005872).

The spelling of 2542003420 in words is "two billion, five hundred forty-two million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 11554561 23109122 46218244 57772805 115545610 127100171 231091220 254200342 508400684 635500855 1271001710 2542003420