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3681142540 = 225193195317
BaseRepresentation
bin1101101101101001…
…1100011100001100
3100111112201102020121
43123122130130030
530014333030130
61405135354324
7160136123665
oct33332343414
910445642217
103681142540
1116199aa969
128689829a4
1346885056a
1426cc7236c
1516828dd7a
hexdb69c70c

3681142540 has 24 divisors (see below), whose sum is σ = 7734483792. Its totient is φ = 1471679040.

The previous prime is 3681142519. The next prime is 3681142541. The reversal of 3681142540 is 452411863.

It is a junction number, because it is equal to n+sod(n) for n = 3681142496 and 3681142505.

It is not an unprimeable number, because it can be changed into a prime (3681142541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9039 + ... + 86278.

It is an arithmetic number, because the mean of its divisors is an integer number (322270158).

Almost surely, 23681142540 is an apocalyptic number.

It is an amenable number.

3681142540 is an abundant number, since it is smaller than the sum of its proper divisors (4053341252).

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

3681142540 is a wasteful number, since it uses less digits than its factorization.

3681142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97257 (or 97255 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3681142540 is about 60672.4199286628. The cubic root of 3681142540 is about 1544.0482878175.

The spelling of 3681142540 in words is "three billion, six hundred eighty-one million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1931 3862 7724 9655 19310 38620 95317 190634 381268 476585 953170 1906340 184057127 368114254 736228508 920285635 1840571270 3681142540