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1051327872 = 27327177669
BaseRepresentation
bin111110101010011…
…111110110000000
32201021020222201100
4332222133312000
54123114442442
6252153334400
735024065560
oct7652376600
92637228640
101051327872
1149a4a1211
12254107400
13139a6baca
149d8acda0
156246e84c
hex3ea9fd80

1051327872 has 192 divisors, whose sum is σ = 3661351200. Its totient is φ = 282673152.

The previous prime is 1051327867. The next prime is 1051327873. The reversal of 1051327872 is 2787231501.

1051327872 is a `hidden beast` number, since 1 + 0 + 513 + 2 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10513278722 = 2210580588888096768, 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 (1051327873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 133254 + ... + 140922.

Almost surely, 21051327872 is an apocalyptic number.

1051327872 is a gapful number since it is divisible by the number (12) 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 1051327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830675600).

1051327872 is an abundant number, since it is smaller than the sum of its proper divisors (2610023328).

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

1051327872 is a wasteful number, since it uses less digits than its factorization.

1051327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7713 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1051327872 is about 32424.1865279609. The cubic root of 1051327872 is about 1016.8246348226.

The spelling of 1051327872 in words is "one billion, fifty-one million, three hundred twenty-seven thousand, eight hundred seventy-two".