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2128260060 = 22325431312099
BaseRepresentation
bin111111011011010…
…1010101111011100
312111022200210221200
41332312222233130
513324313310220
6551103555500
7103511624553
oct17666525734
95438623850
102128260060
119a2390313
124b48bbb90
1327bc03ba4
14162924d9a
15c6c9a890
hex7edaabdc

2128260060 has 144 divisors (see below), whose sum is σ = 6659452800. Its totient is φ = 549843840.

The previous prime is 2128260047. The next prime is 2128260061. The reversal of 2128260060 is 600628212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128260061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012891 + ... + 1014989.

It is an arithmetic number, because the mean of its divisors is an integer number (46246200).

Almost surely, 22128260060 is an apocalyptic number.

2128260060 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 2128260060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329726400).

2128260060 is an abundant number, since it is smaller than the sum of its proper divisors (4531192740).

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

2128260060 is a wasteful number, since it uses less digits than its factorization.

2128260060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2128260060 is about 46133.0690503027. The cubic root of 2128260060 is about 1286.2979129163.

Adding to 2128260060 its reverse (600628212), we get a palindrome (2728888272).

The spelling of 2128260060 in words is "two billion, one hundred twenty-eight million, two hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 131 172 180 215 258 262 387 393 430 516 524 645 655 774 786 860 1179 1290 1310 1548 1572 1935 1965 2099 2358 2580 2620 3870 3930 4198 4716 5633 5895 6297 7740 7860 8396 10495 11266 11790 12594 16899 18891 20990 22532 23580 25188 28165 31485 33798 37782 41980 50697 56330 62970 67596 75564 84495 90257 94455 101394 112660 125940 168990 180514 188910 202788 253485 270771 274969 337980 361028 377820 451285 506970 541542 549938 812313 824907 902570 1013940 1083084 1099876 1353855 1374845 1624626 1649814 1805140 2474721 2707710 2749690 3249252 3299628 4061565 4124535 4949442 5415420 5499380 8123130 8249070 9898884 11823667 12373605 16246260 16498140 23647334 24747210 35471001 47294668 49494420 59118335 70942002 106413003 118236670 141884004 177355005 212826006 236473340 354710010 425652012 532065015 709420020 1064130030 2128260060