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2540202431 = 131671170061
BaseRepresentation
bin1001011101101000…
…0110100110111111
320120000211122122112
42113122012212333
520200242434211
61100021204235
7116643235664
oct22732064677
96500748575
102540202431
111093972758
125aa86067b
13316367180
141a1517a6b
15ed01c88b
hex976869bf

2540202431 has 8 divisors (see below), whose sum is σ = 2751985824. Its totient is φ = 2330759520.

The previous prime is 2540202421. The next prime is 2540202451. The reversal of 2540202431 is 1342020452.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2540202431 - 26 = 2540202367 is a prime.

It is a super-2 number, since 2×25402024312 = 12905256780916619522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2540202397 and 2540202406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540202421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582860 + ... + 587201.

It is an arithmetic number, because the mean of its divisors is an integer number (343998228).

Almost surely, 22540202431 is an apocalyptic number.

2540202431 is a deficient number, since it is larger than the sum of its proper divisors (211783393).

2540202431 is a wasteful number, since it uses less digits than its factorization.

2540202431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170241.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2540202431 is about 50400.4209407025. The cubic root of 2540202431 is about 1364.4452353451.

Adding to 2540202431 its reverse (1342020452), we get a palindrome (3882222883).

The spelling of 2540202431 in words is "two billion, five hundred forty million, two hundred two thousand, four hundred thirty-one".

Divisors: 1 13 167 2171 1170061 15210793 195400187 2540202431