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2742095140 = 225137104757
BaseRepresentation
bin1010001101110001…
…0000110100100100
321002002201212101021
42203130100310210
521103434021030
61132032340524
7124644265321
oct24334206444
97062655337
102742095140
111187928734
126463a4744
13349134b05
141c026db48
15110aec97a
hexa3710d24

2742095140 has 12 divisors (see below), whose sum is σ = 5758399836. Its totient is φ = 1096838048.

The previous prime is 2742095113. The next prime is 2742095179. The reversal of 2742095140 is 415902472.

It can be written as a sum of positive squares in 2 ways, for example, as 1354681636 + 1387413504 = 36806^2 + 37248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2742095096 and 2742095105.

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 3 ways as a sum of consecutive naturals, for example, 68552359 + ... + 68552398.

It is an arithmetic number, because the mean of its divisors is an integer number (479866653).

Almost surely, 22742095140 is an apocalyptic number.

2742095140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742095140 is an abundant number, since it is smaller than the sum of its proper divisors (3016304696).

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

2742095140 is a wasteful number, since it uses less digits than its factorization.

2742095140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137104766 (or 137104764 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2742095140 is about 52365.0182851109. The cubic root of 2742095140 is about 1399.6759692264.

The spelling of 2742095140 in words is "two billion, seven hundred forty-two million, ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 137104757 274209514 548419028 685523785 1371047570 2742095140