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2605032060 = 2235173676959
BaseRepresentation
bin1001101101000101…
…1010001001111100
320201112211100011220
42123101122021330
520313342011220
61110254513340
7121361256441
oct23321321174
96645740156
102605032060
111117522164
12608505850
133269154b7
141a9d919c8
15103a76540
hex9b45a27c

2605032060 has 96 divisors (see below), whose sum is σ = 7745310720. Its totient is φ = 651936768.

The previous prime is 2605032037. The next prime is 2605032091. The reversal of 2605032060 is 602305062.

2605032060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2605032060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370861 + ... + 377819.

It is an arithmetic number, because the mean of its divisors is an integer number (80680320).

Almost surely, 22605032060 is an apocalyptic number.

2605032060 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 2605032060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872655360).

2605032060 is an abundant number, since it is smaller than the sum of its proper divisors (5140278660).

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

2605032060 is a wasteful number, since it uses less digits than its factorization.

2605032060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2605032060 is about 51039.5146920501. The cubic root of 2605032060 is about 1375.9554016722.

The spelling of 2605032060 in words is "two billion, six hundred five million, thirty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 367 510 734 1020 1101 1468 1835 2202 3670 4404 5505 6239 6959 7340 11010 12478 13918 18717 20877 22020 24956 27836 31195 34795 37434 41754 62390 69590 74868 83508 93585 104385 118303 124780 139180 187170 208770 236606 354909 374340 417540 473212 591515 709818 1183030 1419636 1774545 2366060 2553953 3549090 5107906 7098180 7661859 10215812 12769765 15323718 25539530 30647436 38309295 43417201 51079060 76618590 86834402 130251603 153237180 173668804 217086005 260503206 434172010 521006412 651258015 868344020 1302516030 2605032060