Search a number
-
+
2530834128 = 243217575237
BaseRepresentation
bin1001011011011001…
…0111011011010000
320112101012200202100
42112312113123100
520140343143003
61055044320400
7116500510104
oct22666273320
96471180670
102530834128
111089654159
125a76a3100
13314436cb4
141a0199904
15ec2bbba3
hex96d976d0

2530834128 has 30 divisors (see below), whose sum is σ = 7082820914. Its totient is φ = 843611328.

The previous prime is 2530834093. The next prime is 2530834139. The reversal of 2530834128 is 8214380352.

2530834128 is a `hidden beast` number, since 2 + 5 + 308 + 341 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2334049344 + 196784784 = 48312^2 + 14028^2 .

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 = 2530834092 and 2530834101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8787475 + ... + 8787762.

Almost surely, 22530834128 is an apocalyptic number.

It is an amenable number.

2530834128 is an abundant number, since it is smaller than the sum of its proper divisors (4551986786).

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

2530834128 is a wasteful number, since it uses less digits than its factorization.

2530834128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17575251 (or 17575242 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2530834128 is about 50307.3963548105. The cubic root of 2530834128 is about 1362.7658045289.

The spelling of 2530834128 in words is "two billion, five hundred thirty million, eight hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 17575237 35150474 52725711 70300948 105451422 140601896 158177133 210902844 281203792 316354266 421805688 632708532 843611376 1265417064 2530834128