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2093427000 = 2332537247101
BaseRepresentation
bin111110011000111…
…0010100100111000
312101220011002222100
41330301302210320
513241404131000
6543421223400
7102606556500
oct17461624470
95356132870
102093427000
11984759765
124a5101b60
13274929102
1415c058a00
15c3bb9a00
hex7cc72938

2093427000 has 576 divisors, whose sum is σ = 8489370240. Its totient is φ = 463680000.

The previous prime is 2093426999. The next prime is 2093427013. The reversal of 2093427000 is 7243902.

It is a super-3 number, since 3×20934270003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20726950 + ... + 20727050.

It is an arithmetic number, because the mean of its divisors is an integer number (14738490).

Almost surely, 22093427000 is an apocalyptic number.

2093427000 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 2093427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244685120).

2093427000 is an abundant number, since it is smaller than the sum of its proper divisors (6395943240).

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

2093427000 is a wasteful number, since it uses less digits than its factorization.

2093427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2093427000 is about 45753.9834331395. The cubic root of 2093427000 is about 1279.2416976623.

The spelling of 2093427000 in words is "two billion, ninety-three million, four hundred twenty-seven thousand".