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2560652240 = 24532008153
BaseRepresentation
bin1001100010100000…
…0111001111010000
320121110022121111212
42120220013033100
520221011332430
61102031355252
7120312120266
oct23050071720
96543277455
102560652240
1110a446aa23
125b5682b28
1331a677253
141a411c436
15eec0bb95
hex98a073d0

2560652240 has 20 divisors (see below), whose sum is σ = 5953516644. Its totient is φ = 1024260864.

The previous prime is 2560652231. The next prime is 2560652243. The reversal of 2560652240 is 422560652.

It can be written as a sum of positive squares in 2 ways, for example, as 1204645264 + 1356006976 = 34708^2 + 36824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2560652197 and 2560652206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560652243) 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, 16003997 + ... + 16004156.

Almost surely, 22560652240 is an apocalyptic number.

2560652240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560652240 is an abundant number, since it is smaller than the sum of its proper divisors (3392864404).

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

2560652240 is a wasteful number, since it uses less digits than its factorization.

2560652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32008166 (or 32008160 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2560652240 is about 50602.8876646383. The cubic root of 2560652240 is about 1368.0969260918.

The spelling of 2560652240 in words is "two billion, five hundred sixty million, six hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32008153 64016306 128032612 160040765 256065224 320081530 512130448 640163060 1280326120 2560652240