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5352300 = 22325219313
BaseRepresentation
bin10100011010101101101100
3101001220222100
4110122231230
52332233200
6310415100
763331242
oct24325554
911056870
105352300
113026298
121961490
131155255
149d4792
1570ad00
hex51ab6c

5352300 has 108 divisors (see below), whose sum is σ = 17715880. Its totient is φ = 1347840.

The previous prime is 5352299. The next prime is 5352301. The reversal of 5352300 is 32535.

It is an interprime number because it is at equal distance from previous prime (5352299) and next prime (5352301).

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

It is not an unprimeable number, because it can be changed into a prime (5352301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16944 + ... + 17256.

Almost surely, 25352300 is an apocalyptic number.

5352300 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 5352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8857940).

5352300 is an abundant number, since it is smaller than the sum of its proper divisors (12363580).

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

5352300 is a wasteful number, since it uses less digits than its factorization.

5352300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5352300 is about 2313.5038361758. The cubic root of 5352300 is about 174.9229592864.

Adding to 5352300 its reverse (32535), we get a palindrome (5384835).

The spelling of 5352300 in words is "five million, three hundred fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 313 342 380 450 475 570 626 684 855 900 939 950 1140 1252 1425 1565 1710 1878 1900 2817 2850 3130 3420 3756 4275 4695 5634 5700 5947 6260 7825 8550 9390 11268 11894 14085 15650 17100 17841 18780 23475 23788 28170 29735 31300 35682 46950 53523 56340 59470 70425 71364 89205 93900 107046 118940 140850 148675 178410 214092 267615 281700 297350 356820 446025 535230 594700 892050 1070460 1338075 1784100 2676150 5352300