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5230368 = 25321113127
BaseRepresentation
bin10011111100111100100000
3100211201201100
4103330330200
52314332433
6304034400
762312613
oct23747440
910751640
105230368
112a52720
121902a00
1311118c0
149a217a
156d4b13
hex4fcf20

5230368 has 144 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1451520.

The previous prime is 5230367. The next prime is 5230387. The reversal of 5230368 is 8630325.

It is a Cunningham number, because it is equal to 22872-1.

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

It is not an unprimeable number, because it can be changed into a prime (5230363) 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, 41121 + ... + 41247.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 25230368 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 5230368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5230368 is an abundant number, since it is smaller than the sum of its proper divisors (12381408).

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

5230368 is a wasteful number, since it uses less digits than its factorization.

5230368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5230368 is about 2286.9997813730. Note that the first 3 decimals coincide. The cubic root of 5230368 is about 173.5844224238.

The spelling of 5230368 in words is "five million, two hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 127 132 143 144 156 176 198 208 234 254 264 286 288 312 352 381 396 416 429 468 508 528 572 624 762 792 858 936 1016 1056 1143 1144 1248 1287 1397 1524 1584 1651 1716 1872 2032 2286 2288 2574 2794 3048 3168 3302 3432 3744 4064 4191 4572 4576 4953 5148 5588 6096 6604 6864 8382 9144 9906 10296 11176 12192 12573 13208 13728 14859 16764 18161 18288 19812 20592 22352 25146 26416 29718 33528 36322 36576 39624 41184 44704 50292 52832 54483 59436 67056 72644 79248 100584 108966 118872 134112 145288 158496 163449 201168 217932 237744 290576 326898 402336 435864 475488 581152 653796 871728 1307592 1743456 2615184 5230368