Search a number
-
+
5180560 = 245711292
BaseRepresentation
bin10011110000110010010000
3100202012101121
4103300302100
52311234220
6303012024
762014450
oct23606220
910665347
105180560
112a19260
12189a014
1310c5028
1498bd60
156c4eaa
hex4f0c90

5180560 has 120 divisors (see below), whose sum is σ = 15552576. Its totient is φ = 1559040.

The previous prime is 5180537. The next prime is 5180569. The reversal of 5180560 is 650815.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5180569) 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, 178626 + ... + 178654.

Almost surely, 25180560 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 5180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776288).

5180560 is an abundant number, since it is smaller than the sum of its proper divisors (10372016).

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

5180560 is a wasteful number, since it uses less digits than its factorization.

5180560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 5180560 is about 2276.0843569604. The cubic root of 5180560 is about 173.0316580330.

The spelling of 5180560 in words is "five million, one hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 29 35 40 44 55 56 58 70 77 80 88 110 112 116 140 145 154 176 203 220 232 280 290 308 319 385 406 440 464 560 580 616 638 770 812 841 880 1015 1160 1232 1276 1540 1595 1624 1682 2030 2233 2320 2552 3080 3190 3248 3364 4060 4205 4466 5104 5887 6160 6380 6728 8120 8410 8932 9251 11165 11774 12760 13456 16240 16820 17864 18502 22330 23548 25520 29435 33640 35728 37004 44660 46255 47096 58870 64757 67280 74008 89320 92510 94192 117740 129514 148016 178640 185020 235480 259028 323785 370040 470960 518056 647570 740080 1036112 1295140 2590280 5180560