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2605530000 = 2435486851
BaseRepresentation
bin1001101101001101…
…0011101110010000
320201120202122020010
42123103103232100
520314003430000
61110313314520
7121365432243
oct23323235620
96646678203
102605530000
111117832287
12608705a40
13326a5b038
141aa08125a
15103b23d50
hex9b4d3b90

2605530000 has 100 divisors (see below), whose sum is σ = 8411095088. Its totient is φ = 694800000.

The previous prime is 2605529987. The next prime is 2605530019. The reversal of 2605530000 is 355062.

2605530000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13426 + ... + 73425.

Almost surely, 22605530000 is an apocalyptic number.

2605530000 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 2605530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205547544).

2605530000 is an abundant number, since it is smaller than the sum of its proper divisors (5805565088).

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

2605530000 is an equidigital number, since it uses as much as digits as its factorization.

2605530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86882 (or 86861 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2605530000 is about 51044.3924442245. The cubic root of 2605530000 is about 1376.0430652873.

Adding to 2605530000 its reverse (355062), we get a palindrome (2605885062).

The spelling of 2605530000 in words is "two billion, six hundred five million, five hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 86851 173702 260553 347404 434255 521106 694808 868510 1042212 1302765 1389616 1737020 2084424 2171275 2605530 3474040 4168848 4342550 5211060 6513825 6948080 8685100 10422120 10856375 13027650 17370200 20844240 21712750 26055300 32569125 34740400 43425500 52110600 54281875 65138250 86851000 104221200 108563750 130276500 162845625 173702000 217127500 260553000 325691250 434255000 521106000 651382500 868510000 1302765000 2605530000