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5930331 = 311217312
BaseRepresentation
bin10110100111110101011011
3102011021212220
4112213311123
53004232311
6331035123
7101256411
oct26476533
912137786
105930331
113390600
121b9baa3
1312c8394
14b052b1
157c2206
hex5a7d5b

5930331 has 36 divisors (see below), whose sum is σ = 9508968. Its totient is φ = 3273600.

The previous prime is 5930317. The next prime is 5930333. The reversal of 5930331 is 1330395.

It is not a de Polignac number, because 5930331 - 27 = 5930203 is a prime.

It is a super-3 number, since 3×59303313 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

5930331 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5930333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191286 + ... + 191316.

It is an arithmetic number, because the mean of its divisors is an integer number (264138).

Almost surely, 25930331 is an apocalyptic number.

5930331 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5930331 is a deficient number, since it is larger than the sum of its proper divisors (3578637).

5930331 is a wasteful number, since it uses less digits than its factorization.

5930331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 24.

The square root of 5930331 is about 2435.2270941331. The cubic root of 5930331 is about 181.0060028737.

The spelling of 5930331 in words is "five million, nine hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 11 17 31 33 51 93 121 187 341 363 527 561 961 1023 1581 2057 2883 3751 5797 6171 10571 11253 16337 17391 31713 49011 63767 116281 179707 191301 348843 539121 1976777 5930331