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5830000 = 24541153
BaseRepresentation
bin10110001111010101110000
3101222012020221
4112033111300
52443030000
6324542424
7100361041
oct26172560
911865227
105830000
113322190
121b51a14
131291807
14aba8c8
157a261a
hex58f570

5830000 has 100 divisors (see below), whose sum is σ = 15688728. Its totient is φ = 2080000.

The previous prime is 5829973. The next prime is 5830001. The reversal of 5830000 is 385.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5830001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109974 + ... + 110026.

Almost surely, 25830000 is an apocalyptic number.

5830000 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 5830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844364).

5830000 is an abundant number, since it is smaller than the sum of its proper divisors (9858728).

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

5830000 is a wasteful number, since it uses less digits than its factorization.

5830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5830000 is about 2414.5392935299. The cubic root of 5830000 is about 179.9794215158.

Adding to 5830000 its reverse (385), we get a palindrome (5830385).

The spelling of 5830000 in words is "five million, eight hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 125 176 200 212 220 250 265 275 400 424 440 500 530 550 583 625 848 880 1000 1060 1100 1166 1250 1325 1375 2000 2120 2200 2332 2500 2650 2750 2915 4240 4400 4664 5000 5300 5500 5830 6625 6875 9328 10000 10600 11000 11660 13250 13750 14575 21200 22000 23320 26500 27500 29150 33125 46640 53000 55000 58300 66250 72875 106000 110000 116600 132500 145750 233200 265000 291500 364375 530000 583000 728750 1166000 1457500 2915000 5830000