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5830321 = 71959743
BaseRepresentation
bin10110001111011010110001
3101222012200211
4112033122301
52443032241
6324544121
7100362010
oct26173261
911865624
105830321
113322452
121b52041
1312919c3
14abaa77
157a2781
hex58f6b1

5830321 has 16 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 4647888.

The previous prime is 5830313. The next prime is 5830333. The reversal of 5830321 is 1230385.

It is not a de Polignac number, because 5830321 - 23 = 5830313 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

5830321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5830292 and 5830301.

It is not an unprimeable number, because it can be changed into a prime (5830381) 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 15 ways as a sum of consecutive naturals, for example, 7476 + ... + 8218.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 25830321 is an apocalyptic number.

It is an amenable number.

5830321 is a deficient number, since it is larger than the sum of its proper divisors (1312079).

5830321 is a wasteful number, since it uses less digits than its factorization.

5830321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5830321 is about 2414.6057649231. The cubic root of 5830321 is about 179.9827246795.

The spelling of 5830321 in words is "five million, eight hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 19 59 133 413 743 1121 5201 7847 14117 43837 98819 306859 832903 5830321