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5836131 = 3574773
BaseRepresentation
bin10110010000110101100011
3101222111200000
4112100311203
52443224011
6325031043
7100414650
oct26206543
911874600
105836131
113326854
121b55483
131294542
14abcc27
157a4356
hex590d63

5836131 has 48 divisors (see below), whose sum is σ = 10343424. Its totient is φ = 3219264.

The previous prime is 5836093. The next prime is 5836177. The reversal of 5836131 is 1316385.

It is not a de Polignac number, because 5836131 - 26 = 5836067 is a prime.

It is a super-2 number, since 2×58361312 = 68120850098322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5836095 and 5836104.

It is not an unprimeable number, because it can be changed into a prime (5836631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79911 + ... + 79983.

It is an arithmetic number, because the mean of its divisors is an integer number (215488).

Almost surely, 25836131 is an apocalyptic number.

5836131 is a deficient number, since it is larger than the sum of its proper divisors (4507293).

5836131 is an equidigital number, since it uses as much as digits as its factorization.

5836131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 5836131 is about 2415.8085602961. The cubic root of 5836131 is about 180.0424899692.

5836131 divided by its sum of digits (27) gives a triangular number (216153 = T657).

The spelling of 5836131 in words is "five million, eight hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 47 63 73 81 141 189 219 243 329 423 511 567 657 987 1269 1533 1701 1971 2961 3431 3807 4599 5913 8883 10293 11421 13797 17739 24017 26649 30879 41391 72051 79947 92637 124173 216153 277911 648459 833733 1945377 5836131