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5337000 = 233253593
BaseRepresentation
bin10100010110111110101000
3101001010222200
4110112332220
52331241000
6310220200
763235524
oct24267650
911033880
105337000
113015849
121954660
13114b2b6
149ccd84
15706500
hex516fa8

5337000 has 96 divisors (see below), whose sum is σ = 18069480. Its totient is φ = 1420800.

The previous prime is 5336993. The next prime is 5337023. The reversal of 5337000 is 7335.

It can be written as a sum of positive squares in 4 ways, for example, as 1855044 + 3481956 = 1362^2 + 1866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8704 + ... + 9296.

Almost surely, 25337000 is an apocalyptic number.

5337000 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 5337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034740).

5337000 is an abundant number, since it is smaller than the sum of its proper divisors (12732480).

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

5337000 is a wasteful number, since it uses less digits than its factorization.

5337000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 5337000 is about 2310.1947969814. The cubic root of 5337000 is about 174.7561228798.

The spelling of 5337000 in words is "five million, three hundred thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 593 600 750 900 1000 1125 1186 1500 1779 1800 2250 2372 2965 3000 3558 4500 4744 5337 5930 7116 8895 9000 10674 11860 14232 14825 17790 21348 23720 26685 29650 35580 42696 44475 53370 59300 71160 74125 88950 106740 118600 133425 148250 177900 213480 222375 266850 296500 355800 444750 533700 593000 667125 889500 1067400 1334250 1779000 2668500 5337000