Search a number
-
+
2012423140 = 22572131371153
BaseRepresentation
bin111011111110011…
…0010001111100100
312012020201200120101
41313330302033210
513110140020030
6531405113444
7100604212600
oct16774621744
95166650511
102012423140
11942a62322
12481b58884
13260c06b30
141513b0500
15bba187ca
hex77f323e4

2012423140 has 144 divisors (see below), whose sum is σ = 5337490032. Its totient is φ = 631701504.

The previous prime is 2012423107. The next prime is 2012423141. The reversal of 2012423140 is 413242102.

It can be written as a sum of positive squares in 8 ways, for example, as 9144576 + 2003278564 = 3024^2 + 44758^2 .

It is not an unprimeable number, because it can be changed into a prime (2012423141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1744804 + ... + 1745956.

It is an arithmetic number, because the mean of its divisors is an integer number (37065903).

Almost surely, 22012423140 is an apocalyptic number.

2012423140 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 2012423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668745016).

2012423140 is an abundant number, since it is smaller than the sum of its proper divisors (3325066892).

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

2012423140 is a wasteful number, since it uses less digits than its factorization.

2012423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2012423140 is about 44860.0394560682. The cubic root of 2012423140 is about 1262.5243630236.

Adding to 2012423140 its reverse (413242102), we get a palindrome (2425665242).

It can be divided in two parts, 20124 and 23140, that added together give a square (43264 = 2082).

The spelling of 2012423140 in words is "two billion, twelve million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 137 140 182 196 245 260 274 364 455 490 548 637 685 910 959 980 1153 1274 1370 1781 1820 1918 2306 2548 2740 3185 3562 3836 4612 4795 5765 6370 6713 7124 8071 8905 9590 11530 12467 12740 13426 14989 16142 17810 19180 23060 24934 26852 29978 32284 33565 35620 40355 49868 56497 59956 62335 67130 74945 80710 87269 104923 112994 124670 134260 149890 157961 161420 174538 209846 225988 249340 282485 299780 315922 349076 419692 436345 524615 564970 631844 734461 789805 872690 1049230 1105727 1129940 1468922 1579610 1745380 2053493 2098460 2211454 2937844 3159220 3672305 4106986 4422908 5528635 7344610 7740089 8213972 10267465 11057270 14374451 14689220 15480178 20534930 22114540 28748902 30960356 38700445 41069860 57497804 71872255 77400890 100621157 143744510 154801780 201242314 287489020 402484628 503105785 1006211570 2012423140