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2093027040 = 253551341101
BaseRepresentation
bin111110011000001…
…0000111011100000
312101212101210100000
41330300100323200
513241303331130
6543404500000
7102603302436
oct17460207340
95355353300
102093027040
11984506215
124a4b4a600
13274819050
1415bd92d56
15c3b3b260
hex7cc10ee0

2093027040 has 576 divisors, whose sum is σ = 8252217792. Its totient is φ = 497664000.

The previous prime is 2093026981. The next prime is 2093027143. The reversal of 2093027040 is 407203902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2093026995 and 2093027013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20722990 + ... + 20723090.

It is an arithmetic number, because the mean of its divisors is an integer number (14326767).

Almost surely, 22093027040 is an apocalyptic number.

2093027040 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 2093027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126108896).

2093027040 is an abundant number, since it is smaller than the sum of its proper divisors (6159190752).

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

2093027040 is a wasteful number, since it uses less digits than its factorization.

2093027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

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

The square root of 2093027040 is about 45749.6124573750. The cubic root of 2093027040 is about 1279.1602239039.

The spelling of 2093027040 in words is "two billion, ninety-three million, twenty-seven thousand, forty".