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2730021840 = 24335713171943
BaseRepresentation
bin1010001010111000…
…1101001111010000
321001021000110221000
42202232031033100
521042341144330
61130521502000
7124436542230
oct24256151720
97037013830
102730021840
1111810318a7
12642341900
13346798650
141bc809cc0
1510ea15560
hexa2b8d3d0

2730021840 has 1280 divisors, whose sum is σ = 13199155200. Its totient is φ = 501645312.

The previous prime is 2730021817. The next prime is 2730021841. The reversal of 2730021840 is 481200372.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730021841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63488859 + ... + 63488901.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 22730021840 is an apocalyptic number.

2730021840 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 2730021840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

2730021840 is an abundant number, since it is smaller than the sum of its proper divisors (10469133360).

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

2730021840 is a wasteful number, since it uses less digits than its factorization.

2730021840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2730021840 is about 52249.6109076422. The cubic root of 2730021840 is about 1397.6187138270.

The spelling of 2730021840 in words is "two billion, seven hundred thirty million, twenty-one thousand, eight hundred forty".