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2540307100 = 2252157239677
BaseRepresentation
bin1001011101101010…
…0000001010011100
320120001000222020011
42113122200022130
520200304311400
61100023333004
7116644153102
oct22732401234
96501028204
102540307100
111093a34361
125aa8b1164
133163a29c6
141a1543c72
15ed03d8ba
hex976a029c

2540307100 has 72 divisors (see below), whose sum is σ = 5579017920. Its totient is φ = 1003941120.

The previous prime is 2540307097. The next prime is 2540307131. The reversal of 2540307100 is 17030452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3751962 + ... + 3752638.

It is an arithmetic number, because the mean of its divisors is an integer number (77486360).

Almost surely, 22540307100 is an apocalyptic number.

2540307100 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 2540307100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789508960).

2540307100 is an abundant number, since it is smaller than the sum of its proper divisors (3038710820).

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

2540307100 is a wasteful number, since it uses less digits than its factorization.

2540307100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2540307100 is about 50401.4593042701. The cubic root of 2540307100 is about 1364.4639757357.

Adding to 2540307100 its reverse (17030452), we get a palindrome (2557337552).

The spelling of 2540307100 in words is "two billion, five hundred forty million, three hundred seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 239 314 478 628 677 785 956 1195 1354 1570 2390 2708 3140 3385 3925 4780 5975 6770 7850 11950 13540 15700 16925 23900 33850 37523 67700 75046 106289 150092 161803 187615 212578 323606 375230 425156 531445 647212 750460 809015 938075 1062890 1618030 1876150 2125780 2657225 3236060 3752300 4045075 5314450 8090150 10628900 16180300 25403071 50806142 101612284 127015355 254030710 508061420 635076775 1270153550 2540307100