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5334600 = 2335217523
BaseRepresentation
bin10100010110011001001000
3101001000200210
4110112121020
52331201400
6310201120
763225525
oct24263110
911030623
105334600
113013a67
1219531a0
13114a18b
149cc14c
15705950
hex516648

5334600 has 96 divisors (see below), whose sum is σ = 17543520. Its totient is φ = 1336320.

The previous prime is 5334599. The next prime is 5334601. The reversal of 5334600 is 64335.

It is an interprime number because it is at equal distance from previous prime (5334599) and next prime (5334601).

It is not an unprimeable number, because it can be changed into a prime (5334601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9939 + ... + 10461.

It is an arithmetic number, because the mean of its divisors is an integer number (182745).

Almost surely, 25334600 is an apocalyptic number.

5334600 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 5334600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771760).

5334600 is an abundant number, since it is smaller than the sum of its proper divisors (12208920).

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

5334600 is a wasteful number, since it uses less digits than its factorization.

5334600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5334600 is about 2309.6753018552. The cubic root of 5334600 is about 174.7299235431.

Adding to 5334600 its reverse (64335), we get a palindrome (5398935).

The spelling of 5334600 in words is "five million, three hundred thirty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 523 600 680 850 1020 1046 1275 1569 1700 2040 2092 2550 2615 3138 3400 4184 5100 5230 6276 7845 8891 10200 10460 12552 13075 15690 17782 20920 26150 26673 31380 35564 39225 44455 52300 53346 62760 71128 78450 88910 104600 106692 133365 156900 177820 213384 222275 266730 313800 355640 444550 533460 666825 889100 1066920 1333650 1778200 2667300 5334600