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2540027700 = 2233527273263
BaseRepresentation
bin1001011101100101…
…1011111100110100
320120000111202222000
42113121123330310
520200221341300
61100013335300
7116641610400
oct22731337464
96500452860
102540027700
111093863451
125aa797530
13316305792
141a14b0100
15eced5c00
hex9765bf34

2540027700 has 432 divisors, whose sum is σ = 9665631360. Its totient is φ = 570447360.

The previous prime is 2540027663. The next prime is 2540027713. The reversal of 2540027700 is 77200452.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9657769 + ... + 9658031.

Almost surely, 22540027700 is an apocalyptic number.

2540027700 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 2540027700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832815680).

2540027700 is an abundant number, since it is smaller than the sum of its proper divisors (7125603660).

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

2540027700 is a wasteful number, since it uses less digits than its factorization.

2540027700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2540027700 is about 50398.6874829097. The cubic root of 2540027700 is about 1364.4139496040.

The spelling of 2540027700 in words is "two billion, five hundred forty million, twenty-seven thousand, seven hundred".