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2140427520 = 2832571119127
BaseRepresentation
bin111111110010100…
…0101010100000000
312112011120222120100
41333211011110000
513340422140040
6552220442400
7104020222320
oct17745052400
95464528510
102140427520
119a9240970
124b89a9400
132815a417a
141643b1280
15c7da0b30
hex7f945500

2140427520 has 864 divisors, whose sum is σ = 9795502080. Its totient is φ = 418037760.

The previous prime is 2140427473. The next prime is 2140427521. The reversal of 2140427520 is 257240412.

2140427520 is a `hidden beast` number, since 214 + 0 + 427 + 5 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140427521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16853697 + ... + 16853823.

Almost surely, 22140427520 is an apocalyptic number.

2140427520 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 2140427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897751040).

2140427520 is an abundant number, since it is smaller than the sum of its proper divisors (7655074560).

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

2140427520 is a wasteful number, since it uses less digits than its factorization.

2140427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2140427520 is about 46264.7546194725. The cubic root of 2140427520 is about 1288.7445510627.

2140427520 divided by its product of nonzero digits (4480) gives a palindrome (477774).

Adding to 2140427520 its reverse (257240412), we get a palindrome (2397667932).

The spelling of 2140427520 in words is "two billion, one hundred forty million, four hundred twenty-seven thousand, five hundred twenty".