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5906131 = 711219367
BaseRepresentation
bin10110100001111011010011
3102010001200121
4112201323103
53002444011
6330331111
7101126020
oct26417323
912101617
105906131
113374400
121b89a97
1312ba36a
14ada547
157b9e71
hex5a1ed3

5906131 has 24 divisors (see below), whose sum is σ = 7831040. Its totient is φ = 4348080.

The previous prime is 5906113. The next prime is 5906137. The reversal of 5906131 is 1316095.

5906131 = 6432 + 6442 + ... + 6562.

It is not a de Polignac number, because 5906131 - 25 = 5906099 is a prime.

It is a super-2 number, since 2×59061312 = 69764766778322, which contains 22 as substring.

5906131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5906096 and 5906105.

It is not an unprimeable number, because it can be changed into a prime (5906137) 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 23 ways as a sum of consecutive naturals, for example, 15910 + ... + 16276.

Almost surely, 25906131 is an apocalyptic number.

5906131 is a deficient number, since it is larger than the sum of its proper divisors (1924909).

5906131 is a wasteful number, since it uses less digits than its factorization.

5906131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 5906131 is about 2430.2532789814. The cubic root of 5906131 is about 180.7594558074.

The spelling of 5906131 in words is "five million, nine hundred six thousand, one hundred thirty-one".

Divisors: 1 7 11 19 77 121 133 209 367 847 1463 2299 2569 4037 6973 16093 28259 44407 48811 76703 310849 536921 843733 5906131