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2540000260 = 2257217152461
BaseRepresentation
bin1001011101100101…
…0101010000000100
320120000110101022201
42113121111100010
520200220002020
61100013004244
7116641434400
oct22731252004
96500411281
102540000260
111093844876
125aa783684
133162c6145
141a14a4100
15ececca0a
hex97655404

2540000260 has 72 divisors (see below), whose sum is σ = 6569892504. Its totient is φ = 819624960.

The previous prime is 2540000189. The next prime is 2540000261. The reversal of 2540000260 is 620000452.

It can be written as a sum of positive squares in 4 ways, for example, as 1341317376 + 1198682884 = 36624^2 + 34622^2 .

It is not an unprimeable number, because it can be changed into a prime (2540000261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59571 + ... + 92890.

It is an arithmetic number, because the mean of its divisors is an integer number (91248507).

Almost surely, 22540000260 is an apocalyptic number.

2540000260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540000260 is an abundant number, since it is smaller than the sum of its proper divisors (4029892244).

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

2540000260 is a wasteful number, since it uses less digits than its factorization.

2540000260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152501 (or 152492 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2540000260 is about 50398.4152528629. The cubic root of 2540000260 is about 1364.4090363172.

The spelling of 2540000260 in words is "two billion, five hundred forty million, two hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 152461 304922 609844 762305 1067227 1524610 2134454 2591837 3049220 4268908 5183674 5336135 7470589 10367348 10672270 12959185 14941178 18142859 21344540 25918370 29882356 36285718 37352945 51836740 72571436 74705890 90714295 127000013 149411780 181428590 254000026 362857180 508000052 635000065 1270000130 2540000260