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2012605280 = 25572936133
BaseRepresentation
bin111011111110101…
…1110101101100000
312012021001221102022
41313331132231200
513110211332110
6531413041012
7100605601610
oct16775365540
95167057368
102012605280
11943077154
12482026168
13260c6b9ca
1415141aa40
15bba52755
hex77f5eb60

2012605280 has 96 divisors (see below), whose sum is σ = 5453469504. Its totient is φ = 687568896.

The previous prime is 2012605241. The next prime is 2012605289. The reversal of 2012605280 is 825062102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012605289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325094 + ... + 331226.

It is an arithmetic number, because the mean of its divisors is an integer number (56806974).

Almost surely, 22012605280 is an apocalyptic number.

2012605280 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 2012605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726734752).

2012605280 is an abundant number, since it is smaller than the sum of its proper divisors (3440864224).

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

2012605280 is a wasteful number, since it uses less digits than its factorization.

2012605280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2012605280 is about 44862.0695019746. The cubic root of 2012605280 is about 1262.5624513106.

Adding to 2012605280 its reverse (825062102), we get a palindrome (2837667382).

The spelling of 2012605280 in words is "two billion, twelve million, six hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 293 560 586 1120 1172 1465 2051 2344 2930 4102 4688 5860 6133 8204 9376 10255 11720 12266 16408 20510 23440 24532 30665 32816 41020 42931 46880 49064 61330 65632 82040 85862 98128 122660 164080 171724 196256 214655 245320 328160 343448 429310 490640 686896 858620 981280 1373792 1717240 1796969 3434480 3593938 6868960 7187876 8984845 12578783 14375752 17969690 25157566 28751504 35939380 50315132 57503008 62893915 71878760 100630264 125787830 143757520 201260528 251575660 287515040 402521056 503151320 1006302640 2012605280