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2142642640 = 24526783033
BaseRepresentation
bin111111110110110…
…0010000111010000
312112022202112010211
41333231202013100
513342004031030
6552340133504
7104045106355
oct17755420720
95468675124
102142642640
119aa514146
124b9697294
13281b9b4a8
141647ca62c
15c818c12a
hex7fb621d0

2142642640 has 20 divisors (see below), whose sum is σ = 4981644324. Its totient is φ = 857057024.

The previous prime is 2142642631. The next prime is 2142642659. The reversal of 2142642640 is 462462412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1662682176 + 479960464 = 40776^2 + 21908^2 .

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

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 3 ways as a sum of consecutive naturals, for example, 13391437 + ... + 13391596.

Almost surely, 22142642640 is an apocalyptic number.

2142642640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142642640 is an abundant number, since it is smaller than the sum of its proper divisors (2839001684).

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

2142642640 is a wasteful number, since it uses less digits than its factorization.

2142642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26783046 (or 26783040 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 2142642640 is about 46288.6880349832. The cubic root of 2142642640 is about 1289.1889700068.

The spelling of 2142642640 in words is "two billion, one hundred forty-two million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26783033 53566066 107132132 133915165 214264264 267830330 428528528 535660660 1071321320 2142642640