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2142047880 = 2332572929311
BaseRepresentation
bin111111110101101…
…0000111010001000
312112021122022021200
41333223100322020
513341331013010
6552315304200
7104040051360
oct17753207210
95467568250
102142047880
119aa148305
124b944b060
13281a2086b
141646b39a0
15c80c0cc0
hex7fad0e88

2142047880 has 192 divisors, whose sum is σ = 8230809600. Its totient is φ = 472711680.

The previous prime is 2142047867. The next prime is 2142047903. The reversal of 2142047880 is 887402412.

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

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 47 ways as a sum of consecutive naturals, for example, 58425 + ... + 87735.

It is an arithmetic number, because the mean of its divisors is an integer number (42868800).

Almost surely, 22142047880 is an apocalyptic number.

2142047880 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 2142047880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115404800).

2142047880 is an abundant number, since it is smaller than the sum of its proper divisors (6088761720).

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

2142047880 is a wasteful number, since it uses less digits than its factorization.

2142047880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29364 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2142047880 is about 46282.2631253054. The cubic root of 2142047880 is about 1289.0696735557.

The spelling of 2142047880 in words is "two billion, one hundred forty-two million, forty-seven thousand, eight hundred eighty".