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2140655040 = 2635527529
BaseRepresentation
bin111111110010111…
…1100110111000000
312112012000112200000
41333211330313000
513341001430130
6552225400000
7104022160536
oct17745746700
95465015600
102140655040
119a93868a7
124b8a99000
132816538b4
14164430156
15c7de8260
hex7f97cdc0

2140655040 has 168 divisors, whose sum is σ = 7635941040. Its totient is φ = 570820608.

The previous prime is 2140655009. The next prime is 2140655047. The reversal of 2140655040 is 405560412.

2140655040 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 655 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2140654995 and 2140655013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140655047) 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 23 ways as a sum of consecutive naturals, for example, 63996 + ... + 91524.

It is an arithmetic number, because the mean of its divisors is an integer number (45452030).

Almost surely, 22140655040 is an apocalyptic number.

2140655040 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 2140655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817970520).

2140655040 is an abundant number, since it is smaller than the sum of its proper divisors (5495286000).

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

2140655040 is an equidigital number, since it uses as much as digits as its factorization.

2140655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27561 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2140655040 is about 46267.2134453762. The cubic root of 2140655040 is about 1288.7902124659.

The spelling of 2140655040 in words is "two billion, one hundred forty million, six hundred fifty-five thousand, forty".