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2854005120 = 273254671061
BaseRepresentation
bin1010101000011100…
…1010100110000000
321100220022111000100
42222013022212000
521321111130440
61151111122400
7130503433431
oct25207124600
97326274010
102854005120
11123501431a
12677973400
13366388635
141d1081488
1511a856230
hexaa1ca980

2854005120 has 192 divisors, whose sum is σ = 9885648240. Its totient is φ = 758722560.

The previous prime is 2854005079. The next prime is 2854005131. The reversal of 2854005120 is 215004582.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689390 + ... + 2690450.

Almost surely, 22854005120 is an apocalyptic number.

2854005120 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 2854005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942824120).

2854005120 is an abundant number, since it is smaller than the sum of its proper divisors (7031643120).

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

2854005120 is a wasteful number, since it uses less digits than its factorization.

2854005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2854005120 is about 53422.8894763284. The cubic root of 2854005120 is about 1418.4637753893.

The spelling of 2854005120 in words is "two billion, eight hundred fifty-four million, five thousand, one hundred twenty".