Search a number
-
+
260220522528 = 2532300592
BaseRepresentation
bin1111001001011001011…
…0100001000000100000
3220212200012211012021200
43302112112201000200
513230412423210103
6315313232521200
724541335642351
oct3622626410040
9825605735250
10260220522528
11a03a477908a
12425233b0200
131b70066a865
14c847d79d28
156b802370a3
hex3c965a1020

260220522528 has 54 divisors (see below), whose sum is σ = 740026730079. Its totient is φ = 86737288512.

The previous prime is 260220522521. The next prime is 260220522547. The reversal of 260220522528 is 825225022062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

260220522528 is a `hidden beast` number, since 2 + 60 + 2 + 20 + 52 + 2 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130110261264 + 130110261264 = 360708^2 + 360708^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=360708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 260220522492 and 260220522501.

It is not an unprimeable number, because it can be changed into a prime (260220522521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8641963 + ... + 8672021.

Almost surely, 2260220522528 is an apocalyptic number.

It is an amenable number.

260220522528 is an abundant number, since it is smaller than the sum of its proper divisors (479806207551).

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

260220522528 is an frugal number, since it uses more digits than its factorization.

260220522528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60134 (or 30064 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 260220522528 in words is "two hundred sixty billion, two hundred twenty million, five hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 30059 60118 90177 120236 180354 240472 270531 360708 480944 541062 721416 961888 1082124 1442832 2164248 2885664 4328496 8656992 903543481 1807086962 2710630443 3614173924 5421260886 7228347848 8131891329 10842521772 14456695696 16263782658 21685043544 28913391392 32527565316 43370087088 65055130632 86740174176 130110261264 260220522528