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2711705140 = 225135585257
BaseRepresentation
bin1010000110100001…
…0101011000110100
320222222112220010201
42201220111120310
521023144031030
61125025130244
7124125053614
oct24150253064
96888486121
102711705140
111171761231
12638189984
13342a54471
141ba1dca44
1510d0e82ca
hexa1a15634

2711705140 has 12 divisors (see below), whose sum is σ = 5694580836. Its totient is φ = 1084682048.

The previous prime is 2711705093. The next prime is 2711705147. The reversal of 2711705140 is 415071172.

It can be written as a sum of positive squares in 2 ways, for example, as 1225140004 + 1486565136 = 35002^2 + 38556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2711705099 and 2711705108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711705147) by changing a digit.

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, 67792609 + ... + 67792648.

It is an arithmetic number, because the mean of its divisors is an integer number (474548403).

Almost surely, 22711705140 is an apocalyptic number.

2711705140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2711705140 is an abundant number, since it is smaller than the sum of its proper divisors (2982875696).

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

2711705140 is a wasteful number, since it uses less digits than its factorization.

2711705140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135585266 (or 135585264 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 2711705140 is about 52074.0351806925. The cubic root of 2711705140 is about 1394.4859880053.

The spelling of 2711705140 in words is "two billion, seven hundred eleven million, seven hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 135585257 271170514 542341028 677926285 1355852570 2711705140