Search a number
-
+
5124960 = 253253559
BaseRepresentation
bin10011100011001101100000
3100122101010100
4103203031200
52302444320
6301502400
761363401
oct23431540
910571110
105124960
112990505
121871a00
1310a5929
149759a8
156b3790
hex4e3360

5124960 has 72 divisors (see below), whose sum is σ = 17493840. Its totient is φ = 1366272.

The previous prime is 5124943. The next prime is 5124961. The reversal of 5124960 is 694215.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5124961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (242970).

Almost surely, 25124960 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 5124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746920).

5124960 is an abundant number, since it is smaller than the sum of its proper divisors (12368880).

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

5124960 is a wasteful number, since it uses less digits than its factorization.

5124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5124960 is about 2263.8374499950. The cubic root of 5124960 is about 172.4104134694.

It can be divided in two parts, 5124 and 960, that added together give a square (6084 = 782).

The spelling of 5124960 in words is "five million, one hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3559 7118 10677 14236 17795 21354 28472 32031 35590 42708 53385 56944 64062 71180 85416 106770 113888 128124 142360 160155 170832 213540 256248 284720 320310 341664 427080 512496 569440 640620 854160 1024992 1281240 1708320 2562480 5124960