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5242560 = 263543127
BaseRepresentation
bin10011111111111011000000
3100212100102220
4103333323000
52320230220
6304211040
762363301
oct23777300
910770386
105242560
112a608a4
121909a80
13111730b
149a67a8
156d8540
hex4ffec0

5242560 has 112 divisors (see below), whose sum is σ = 17166336. Its totient is φ = 1354752.

The previous prime is 5242513. The next prime is 5242561. The reversal of 5242560 is 652425.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5242560.

It is not an unprimeable number, because it can be changed into a prime (5242561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41217 + ... + 41343.

Almost surely, 25242560 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 5242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583168).

5242560 is an abundant number, since it is smaller than the sum of its proper divisors (11923776).

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

5242560 is a wasteful number, since it uses less digits than its factorization.

5242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5242560 is about 2289.6637307692. The cubic root of 5242560 is about 173.7191929922.

Adding to 5242560 its reverse (652425), we get a palindrome (5894985).

The spelling of 5242560 in words is "five million, two hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 127 129 160 172 192 215 240 254 258 320 344 381 430 480 508 516 635 645 688 762 860 960 1016 1032 1270 1290 1376 1524 1720 1905 2032 2064 2540 2580 2752 3048 3440 3810 4064 4128 5080 5160 5461 6096 6880 7620 8128 8256 10160 10320 10922 12192 13760 15240 16383 20320 20640 21844 24384 27305 30480 32766 40640 41280 43688 54610 60960 65532 81915 87376 109220 121920 131064 163830 174752 218440 262128 327660 349504 436880 524256 655320 873760 1048512 1310640 1747520 2621280 5242560