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760835140 = 225135355213
BaseRepresentation
bin101101010110010…
…110110001000100
31222000122102121021
4231112112301010
53024233211030
6203255200524
724565664152
oct5526266104
91860572537
10760835140
1136052077a
12192976144
13c181c510
14730923d2
1546bdc97a
hex2d596c44

760835140 has 48 divisors (see below), whose sum is σ = 1753154928. Its totient is φ = 275618304.

The previous prime is 760835137. The next prime is 760835167. The reversal of 760835140 is 41538067.

It can be written as a sum of positive squares in 8 ways, for example, as 6563844 + 754271296 = 2562^2 + 27464^2 .

It is a super-3 number, since 3×7608351403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 760835096 and 760835105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13827 + ... + 41386.

It is an arithmetic number, because the mean of its divisors is an integer number (36524061).

Almost surely, 2760835140 is an apocalyptic number.

It is an amenable number.

760835140 is an abundant number, since it is smaller than the sum of its proper divisors (992319788).

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

760835140 is a wasteful number, since it uses less digits than its factorization.

760835140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55288 (or 55286 counting only the distinct ones).

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

The square root of 760835140 is about 27583.2402012526. The cubic root of 760835140 is about 912.9146733540.

The spelling of 760835140 in words is "seven hundred sixty million, eight hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 55213 110426 220852 276065 552130 717769 1104260 1435538 2871076 2926289 3588845 5852578 7177690 11705156 14355380 14631445 29262890 38041757 58525780 76083514 152167028 190208785 380417570 760835140