Search a number
-
+
5300064 = 2532711239
BaseRepresentation
bin10100001101111101100000
3100222021022200
4110031331200
52324100224
6305333200
763023040
oct24157540
910867280
105300064
112aa0020
121937200
131137543
149bd720
156ea5c9
hex50df60

5300064 has 144 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1370880.

The previous prime is 5300063. The next prime is 5300081. The reversal of 5300064 is 4600035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5300063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22057 + ... + 22295.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25300064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5300064 is an abundant number, since it is smaller than the sum of its proper divisors (13569696).

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

5300064 is a wasteful number, since it uses less digits than its factorization.

5300064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5300064 is about 2302.1867865141. The cubic root of 5300064 is about 174.3520419152.

Adding to 5300064 its reverse (4600035), we get a palindrome (9900099).

The spelling of 5300064 in words is "five million, three hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 239 252 264 288 308 336 352 396 462 478 504 528 616 672 693 717 792 924 956 1008 1056 1232 1386 1434 1584 1673 1848 1912 2016 2151 2464 2629 2772 2868 3168 3346 3696 3824 4302 5019 5258 5544 5736 6692 7392 7648 7887 8604 10038 10516 11088 11472 13384 15057 15774 17208 18403 20076 21032 22176 22944 23661 26768 30114 31548 34416 36806 40152 42064 47322 53536 55209 60228 63096 68832 73612 80304 84128 94644 110418 120456 126192 147224 160608 165627 189288 220836 240912 252384 294448 331254 378576 441672 481824 588896 662508 757152 883344 1325016 1766688 2650032 5300064