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5809300 = 2252743193
BaseRepresentation
bin10110001010010010010100
3101221010212021
4112022102110
52441344200
6324302524
7100243510
oct26122224
911833767
105809300
113308682
121b41a44
131285273
14ab3140
1579b41a
hex58a494

5809300 has 72 divisors (see below), whose sum is σ = 14818496. Its totient is φ = 1935360.

The previous prime is 5809289. The next prime is 5809313. The reversal of 5809300 is 39085.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30004 + ... + 30196.

Almost surely, 25809300 is an apocalyptic number.

5809300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5809300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409248).

5809300 is an abundant number, since it is smaller than the sum of its proper divisors (9009196).

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

5809300 is a wasteful number, since it uses less digits than its factorization.

5809300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 5809300 is about 2410.2489497975. The cubic root of 5809300 is about 179.7661572456.

The spelling of 5809300 in words is "five million, eight hundred nine thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 193 215 301 350 386 430 602 700 772 860 965 1075 1204 1351 1505 1930 2150 2702 3010 3860 4300 4825 5404 6020 6755 7525 8299 9650 13510 15050 16598 19300 27020 30100 33196 33775 41495 58093 67550 82990 116186 135100 165980 207475 232372 290465 414950 580930 829900 1161860 1452325 2904650 5809300