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2140763760 = 24325172937163
BaseRepresentation
bin111111110011001…
…0111011001110000
312112012020001210200
41333212113121300
513341013420020
6552231555200
7104023122522
oct17746273160
95465201720
102140763760
119a9450553
124b8b2bb00
13281691225
1416445ba12
15c7e1a590
hex7f997670

2140763760 has 480 divisors, whose sum is σ = 8137247040. Its totient is φ = 501645312.

The previous prime is 2140763747. The next prime is 2140763767. The reversal of 2140763760 is 673670412.

2140763760 is a `hidden beast` number, since 2 + 14 + 0 + 7 + 637 + 6 + 0 = 666.

It is a super-2 number, since 2×21407637602 = 9165738952258675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140763767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13133439 + ... + 13133601.

It is an arithmetic number, because the mean of its divisors is an integer number (16952598).

Almost surely, 22140763760 is an apocalyptic number.

2140763760 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 2140763760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068623520).

2140763760 is an abundant number, since it is smaller than the sum of its proper divisors (5996483280).

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

2140763760 is a wasteful number, since it uses less digits than its factorization.

2140763760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2140763760 is about 46268.3883445274. The cubic root of 2140763760 is about 1288.8120305382.

The spelling of 2140763760 in words is "two billion, one hundred forty million, seven hundred sixty-three thousand, seven hundred sixty".