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5664300 = 2235279239
BaseRepresentation
bin10101100110111000101100
3101122202221220
4111212320230
52422224200
6321223340
766100665
oct25467054
911582856
105664300
113219744
121a91b50
131234275
14a7636c
1576d4a0
hex566e2c

5664300 has 72 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 1485120.

The previous prime is 5664287. The next prime is 5664301. The reversal of 5664300 is 34665.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5664301) 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, 23581 + ... + 23819.

Almost surely, 25664300 is an apocalyptic number.

5664300 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 5664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

5664300 is an abundant number, since it is smaller than the sum of its proper divisors (11001300).

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

5664300 is a wasteful number, since it uses less digits than its factorization.

5664300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5664300 is about 2379.9789915039. The cubic root of 5664300 is about 178.2578848357.

Adding to 5664300 its reverse (34665), we get a palindrome (5698965).

The spelling of 5664300 in words is "five million, six hundred sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 239 300 316 395 474 478 717 790 948 956 1185 1195 1434 1580 1975 2370 2390 2868 3585 3950 4740 4780 5925 5975 7170 7900 11850 11950 14340 17925 18881 23700 23900 35850 37762 56643 71700 75524 94405 113286 188810 226572 283215 377620 472025 566430 944050 1132860 1416075 1888100 2832150 5664300