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2060005220 = 2257132831049
BaseRepresentation
bin111101011001001…
…0010111101100100
312022120021002220122
41322302102331210
513204330131340
6540225021112
7102022520060
oct17262227544
95276232818
102060005220
11967901459
12495a84798
1326aa26800
14157838aa0
15c0cb6db5
hex7ac92f64

2060005220 has 144 divisors (see below), whose sum is σ = 5423241600. Its totient is φ = 643488768.

The previous prime is 2060005201. The next prime is 2060005267. The reversal of 2060005220 is 225000602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963256 + ... + 1964304.

It is an arithmetic number, because the mean of its divisors is an integer number (37661400).

Almost surely, 22060005220 is an apocalyptic number.

2060005220 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 2060005220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711620800).

2060005220 is an abundant number, since it is smaller than the sum of its proper divisors (3363236380).

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

2060005220 is a wasteful number, since it uses less digits than its factorization.

2060005220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2060005220 is about 45387.2803767752. The cubic root of 2060005220 is about 1272.3974018044.

Adding to 2060005220 its reverse (225000602), we get a palindrome (2285005822).

The spelling of 2060005220 in words is "two billion, sixty million, five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 83 91 130 140 166 169 182 260 332 338 364 415 455 581 676 830 845 910 1049 1079 1162 1183 1660 1690 1820 2098 2158 2324 2366 2905 3380 4196 4316 4732 5245 5395 5810 5915 7343 7553 10490 10790 11620 11830 13637 14027 14686 15106 20980 21580 23660 27274 28054 29372 30212 36715 37765 54548 56108 68185 70135 73430 75530 87067 95459 98189 136370 140270 146860 151060 174134 177281 190918 196378 272740 280540 348268 354562 381836 392756 435335 477295 490945 609469 709124 870670 886405 954590 981890 1131871 1218938 1240967 1741340 1772810 1909180 1963780 2263742 2437876 2481934 3047345 3545620 4527484 4963868 5659355 6094690 6204835 7923097 11318710 12189380 12409670 14714323 15846194 22637420 24819340 29428646 31692388 39615485 58857292 73571615 79230970 103000261 147143230 158461940 206000522 294286460 412001044 515001305 1030002610 2060005220