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2983214080 = 210572112347
BaseRepresentation
bin1011000111010000…
…0011110000000000
321200220102222101101
42301310003300000
522102200322310
61212004344144
7133632621100
oct26164036000
97626388341
102983214080
1112a0a45990
126b30a5054
13387088042
142042b7200
15126d7a43a
hexb1d03c00

2983214080 has 528 divisors, whose sum is σ = 9677822976. Its totient is φ = 870481920.

The previous prime is 2983214071. The next prime is 2983214093. The reversal of 2983214080 is 804123892.

It is a super-2 number, since 2×29832140802 = 17799132494220492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 63472617 + ... + 63472663.

Almost surely, 22983214080 is an apocalyptic number.

2983214080 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 2983214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838911488).

2983214080 is an abundant number, since it is smaller than the sum of its proper divisors (6694608896).

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

2983214080 is a wasteful number, since it uses less digits than its factorization.

2983214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2983214080 is about 54618.8070173635. The cubic root of 2983214080 is about 1439.5545947566.

The spelling of 2983214080 in words is "two billion, nine hundred eighty-three million, two hundred fourteen thousand, eighty".