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2543326740 = 2232514129593
BaseRepresentation
bin1001011110011000…
…0001011000010100
320120020201101101200
42113212001120110
520202042423430
61100212152500
7120011630523
oct22746013024
96506641350
102543326740
111095707029
125ab908730
13316bbc286
141a1acc4ba
15ed438460
hex97981614

2543326740 has 36 divisors (see below), whose sum is σ = 7714758324. Its totient is φ = 678220416.

The previous prime is 2543326699. The next prime is 2543326759. The reversal of 2543326740 is 476233452.

2543326740 is a `hidden beast` number, since 254 + 332 + 6 + 74 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 621205776 + 1922120964 = 24924^2 + 43842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2543326695 and 2543326704.

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 11 ways as a sum of consecutive naturals, for example, 7064617 + ... + 7064976.

Almost surely, 22543326740 is an apocalyptic number.

2543326740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543326740 is an abundant number, since it is smaller than the sum of its proper divisors (5171431584).

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

2543326740 is a wasteful number, since it uses less digits than its factorization.

2543326740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14129608 (or 14129603 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2543326740 is about 50431.4062861626. The cubic root of 2543326740 is about 1365.0044036407.

The spelling of 2543326740 in words is "two billion, five hundred forty-three million, three hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14129593 28259186 42388779 56518372 70647965 84777558 127166337 141295930 169555116 211943895 254332674 282591860 423887790 508665348 635831685 847775580 1271663370 2543326740