Search a number
-
+
5120720 = 245112232
BaseRepresentation
bin10011100010001011010000
3100122011022022
4103202023100
52302330340
6301431012
761345133
oct23421320
910564268
105120720
112988300
12186b468
1310a3a17
1497421a
156b23b5
hex4e22d0

5120720 has 90 divisors (see below), whose sum is σ = 13680114. Its totient is φ = 1781120.

The previous prime is 5120719. The next prime is 5120729. The reversal of 5120720 is 270215.

It can be written as a sum of positive squares in only one way, i.e., 4096576 + 1024144 = 2024^2 + 1012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120729) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 222629 + ... + 222651.

Almost surely, 25120720 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 5120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840057).

5120720 is an abundant number, since it is smaller than the sum of its proper divisors (8559394).

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

5120720 is a wasteful number, since it uses less digits than its factorization.

5120720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 5120720 is about 2262.9007932298. The cubic root of 5120720 is about 172.3628539540.

Adding to 5120720 its reverse (270215), we get a palindrome (5390935).

It can be divided in two parts, 5120 and 720, that multiplied together give a square (3686400 = 19202).

The spelling of 5120720 in words is "five million, one hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 121 176 184 220 230 242 253 368 440 460 484 506 529 605 880 920 968 1012 1058 1210 1265 1840 1936 2024 2116 2420 2530 2645 2783 4048 4232 4840 5060 5290 5566 5819 8464 9680 10120 10580 11132 11638 13915 20240 21160 22264 23276 27830 29095 42320 44528 46552 55660 58190 64009 93104 111320 116380 128018 222640 232760 256036 320045 465520 512072 640090 1024144 1280180 2560360 5120720