Search a number
-
+
2750660640 = 253357136997
BaseRepresentation
bin1010001111110011…
…1100000000100000
321002200212001001000
42203330330000200
521113132120030
61132540112000
7125110141530
oct24374740040
97080761030
102750660640
111191749062
12649235600
1334ab43760
141c145d4c0
15111740860
hexa3f3c020

2750660640 has 384 divisors, whose sum is σ = 11850693120. Its totient is φ = 580276224.

The previous prime is 2750660519. The next prime is 2750660651. The reversal of 2750660640 is 460660572.

2750660640 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 6 + 6 + 0 + 640 = 666.

It is a super-2 number, since 2×27506606402 = 15132267912890419200, which contains 22 as substring.

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 = 2750660595 and 2750660604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389622 + ... + 396618.

It is an arithmetic number, because the mean of its divisors is an integer number (30861180).

Almost surely, 22750660640 is an apocalyptic number.

2750660640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2750660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925346560).

2750660640 is an abundant number, since it is smaller than the sum of its proper divisors (9100032480).

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

2750660640 is a wasteful number, since it uses less digits than its factorization.

2750660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2750660640 is about 52446.7409854988. The cubic root of 2750660640 is about 1401.1318466034.

The spelling of 2750660640 in words is "two billion, seven hundred fifty million, six hundred sixty thousand, six hundred forty".