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2740392900 = 22325272511733
BaseRepresentation
bin1010001101010111…
…0001001111000100
321001222112101100100
42203111301033010
521103020033100
61131532044100
7124623645450
oct24325611704
97058471310
102740392900
111186975823
12645903630
1334898a07b
141bdd49660
151108b3400
hexa35713c4

2740392900 has 216 divisors, whose sum is σ = 9861493824. Its totient is φ = 623520000.

The previous prime is 2740392899. The next prime is 2740392913. The reversal of 2740392900 is 92930472.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1580434 + ... + 1582166.

It is an arithmetic number, because the mean of its divisors is an integer number (45655064).

Almost surely, 22740392900 is an apocalyptic number.

2740392900 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 2740392900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930746912).

2740392900 is an abundant number, since it is smaller than the sum of its proper divisors (7121100924).

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

2740392900 is a wasteful number, since it uses less digits than its factorization.

2740392900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2740392900 is about 52348.7621630159. The cubic root of 2740392900 is about 1399.3862786198.

The spelling of 2740392900 in words is "two billion, seven hundred forty million, three hundred ninety-two thousand, nine hundred".