Search a number
-
+
5239520 = 2551113229
BaseRepresentation
bin10011111111001011100000
3100212012021022
4103333023200
52320131040
6304145012
762351366
oct23771340
910765238
105239520
112a59590
121908168
131115b10
149a5636
156d76b5
hex4ff2e0

5239520 has 96 divisors (see below), whose sum is σ = 14605920. Its totient is φ = 1751040.

The previous prime is 5239511. The next prime is 5239523. The reversal of 5239520 is 259325.

It is a Cunningham number, because it is equal to 22892-1.

It is a super-3 number, since 3×52395203 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 53 + 28 + 314 + 9 + 58 + 216 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 5239520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5239523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22766 + ... + 22994.

It is an arithmetic number, because the mean of its divisors is an integer number (152145).

Almost surely, 25239520 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 5239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302960).

5239520 is an abundant number, since it is smaller than the sum of its proper divisors (9366400).

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

5239520 is a wasteful number, since it uses less digits than its factorization.

5239520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 5239520 is about 2288.9997815640. Note that the first 3 decimals coincide. The cubic root of 5239520 is about 173.6856083531.

The spelling of 5239520 in words is "five million, two hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 229 260 286 352 416 440 458 520 572 715 880 916 1040 1144 1145 1430 1760 1832 2080 2288 2290 2519 2860 2977 3664 4576 4580 5038 5720 5954 7328 9160 10076 11440 11908 12595 14885 18320 20152 22880 23816 25190 29770 32747 36640 40304 47632 50380 59540 65494 80608 95264 100760 119080 130988 163735 201520 238160 261976 327470 403040 476320 523952 654940 1047904 1309880 2619760 5239520