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2142632560 = 24526782907
BaseRepresentation
bin111111110110101…
…1111101001110000
312112022202000022111
41333231133221300
513342003220220
6552340015104
7104045035105
oct17755375160
95468660274
102142632560
119aa507612
124b9691494
13281b96a23
141647c6aac
15c818915a
hex7fb5fa70

2142632560 has 20 divisors (see below), whose sum is σ = 4981620888. Its totient is φ = 857052992.

The previous prime is 2142632477. The next prime is 2142632567. The reversal of 2142632560 is 652362412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142632567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13391374 + ... + 13391533.

Almost surely, 22142632560 is an apocalyptic number.

2142632560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142632560 is an abundant number, since it is smaller than the sum of its proper divisors (2838988328).

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

2142632560 is a wasteful number, since it uses less digits than its factorization.

2142632560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26782920 (or 26782914 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2142632560 is about 46288.5791529617. The cubic root of 2142632560 is about 1289.1869483530.

Adding to 2142632560 its reverse (652362412), we get a palindrome (2794994972).

The spelling of 2142632560 in words is "two billion, one hundred forty-two million, six hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26782907 53565814 107131628 133914535 214263256 267829070 428526512 535658140 1071316280 2142632560