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2872869120 = 28345112229
BaseRepresentation
bin1010101100111100…
…1000000100000000
321102012210212120000
42223033020010000
521340423302440
61153023320000
7131122661502
oct25317100400
97365725500
102872869120
111244729100
12682150000
1336a261974
141d3791d72
1511c330730
hexab3c8100

2872869120 has 540 divisors, whose sum is σ = 11348461740. Its totient is φ = 693411840.

The previous prime is 2872869091. The next prime is 2872869121. The reversal of 2872869120 is 219682782.

2872869120 is a `hidden beast` number, since 287 + 286 + 91 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 905769216 = 44352^2 + 30096^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872869121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545166 + ... + 12545394.

Almost surely, 22872869120 is an apocalyptic number.

2872869120 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 2872869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674230870).

2872869120 is an abundant number, since it is smaller than the sum of its proper divisors (8475592620).

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

2872869120 is a wasteful number, since it uses less digits than its factorization.

2872869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2872869120 is about 53599.1522321016. The cubic root of 2872869120 is about 1421.5821022709.

The spelling of 2872869120 in words is "two billion, eight hundred seventy-two million, eight hundred sixty-nine thousand, one hundred twenty".