Search a number
-
+
2560970560 = 2658003033
BaseRepresentation
bin1001100010100101…
…0100111101000000
320121110220210011111
42120221110331000
520221102024220
61102042253104
7120314614321
oct23051247500
96543823144
102560970560
1110a46680a5
125b57b7194
1331a7590c5
141a41a2448
15eec7115a
hex98a54f40

2560970560 has 28 divisors (see below), whose sum is σ = 6098311908. Its totient is φ = 1024388096.

The previous prime is 2560970557. The next prime is 2560970567. The reversal of 2560970560 is 650790652.

It can be written as a sum of positive squares in 2 ways, for example, as 1381460224 + 1179510336 = 37168^2 + 34344^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560970567) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4001197 + ... + 4001836.

Almost surely, 22560970560 is an apocalyptic number.

2560970560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560970560 is an abundant number, since it is smaller than the sum of its proper divisors (3537341348).

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

2560970560 is an equidigital number, since it uses as much as digits as its factorization.

2560970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003050 (or 8003040 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 2560970560 is about 50606.0328419448. The cubic root of 2560970560 is about 1368.1536140666.

It can be divided in two parts, 25609 and 70560, that added together give a palindrome (96169).

The spelling of 2560970560 in words is "two billion, five hundred sixty million, nine hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 8003033 16006066 32012132 40015165 64024264 80030330 128048528 160060660 256097056 320121320 512194112 640242640 1280485280 2560970560