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2838871140 = 22357172359293
BaseRepresentation
bin1010100100110101…
…1011110001100100
321022211211121002120
42221031123301210
521303222334030
61145410505540
7130231002150
oct25115336144
97284747076
102838871140
1112275179a6
126728952b0
133631ba011
141cd062060
15119367010
hexa935bc64

2838871140 has 384 divisors, whose sum is σ = 10241925120. Its totient is φ = 572301312.

The previous prime is 2838871109. The next prime is 2838871177. The reversal of 2838871140 is 411788382.

2838871140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2838871092 and 2838871101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9688834 + ... + 9689126.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 22838871140 is an apocalyptic number.

2838871140 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 2838871140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120962560).

2838871140 is an abundant number, since it is smaller than the sum of its proper divisors (7403053980).

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

2838871140 is a wasteful number, since it uses less digits than its factorization.

2838871140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 2838871140 is about 53281.0579849913. The cubic root of 2838871140 is about 1415.9520934828.

The spelling of 2838871140 in words is "two billion, eight hundred thirty-eight million, eight hundred seventy-one thousand, one hundred forty".