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4130263540 = 2251315885629
BaseRepresentation
bin1111011000101110…
…1101000111110100
3101122211211010102201
43312023231013310
531424321413130
61521501514244
7204231442444
oct36613550764
911584733381
104130263540
11182a476147
12973272984
1350a900130
142b2782124
15192906bca
hexf62ed1f4

4130263540 has 24 divisors (see below), whose sum is σ = 9340750440. Its totient is φ = 1525020288.

The previous prime is 4130263523. The next prime is 4130263541. The reversal of 4130263540 is 453620314.

It can be written as a sum of positive squares in 4 ways, for example, as 418529764 + 3711733776 = 20458^2 + 60924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4130263499 and 4130263508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130263541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7942555 + ... + 7943074.

It is an arithmetic number, because the mean of its divisors is an integer number (389197935).

Almost surely, 24130263540 is an apocalyptic number.

It is an amenable number.

4130263540 is an abundant number, since it is smaller than the sum of its proper divisors (5210486900).

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

4130263540 is a wasteful number, since it uses less digits than its factorization.

4130263540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885651 (or 15885649 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4130263540 is about 64267.1264333485. The cubic root of 4130263540 is about 1604.4490158821.

Adding to 4130263540 its reverse (453620314), we get a palindrome (4583883854).

The spelling of 4130263540 in words is "four billion, one hundred thirty million, two hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 15885629 31771258 63542516 79428145 158856290 206513177 317712580 413026354 826052708 1032565885 2065131770 4130263540