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2124520140 = 223579523857
BaseRepresentation
bin111111010100001…
…1001101011001100
312111001122210202010
41332220121223030
513322334121030
6550451501220
7103435060161
oct17650315314
95431583663
102124520140
119a0266476
124b35b7810
1327b1c4812
14162230068
15c67ac6b0
hex7ea19acc

2124520140 has 96 divisors (see below), whose sum is σ = 6042516480. Its totient is φ = 557646336.

The previous prime is 2124520121. The next prime is 2124520147. The reversal of 2124520140 is 410254212.

It is not an unprimeable number, because it can be changed into a prime (2124520147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2478592 + ... + 2479448.

It is an arithmetic number, because the mean of its divisors is an integer number (62942880).

Almost surely, 22124520140 is an apocalyptic number.

2124520140 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 2124520140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021258240).

2124520140 is an abundant number, since it is smaller than the sum of its proper divisors (3917996340).

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

2124520140 is a wasteful number, since it uses less digits than its factorization.

2124520140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2124520140 is about 46092.5171801237. The cubic root of 2124520140 is about 1285.5440150883.

Adding to 2124520140 its reverse (410254212), we get a palindrome (2534774352).

The spelling of 2124520140 in words is "two billion, one hundred twenty-four million, five hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 523 790 857 948 1046 1185 1569 1580 1714 2092 2370 2571 2615 3138 3428 4285 4740 5142 5230 6276 7845 8570 10284 10460 12855 15690 17140 25710 31380 41317 51420 67703 82634 123951 135406 165268 203109 206585 247902 270812 338515 406218 413170 448211 495804 619755 677030 812436 826340 896422 1015545 1239510 1344633 1354060 1792844 2031090 2241055 2479020 2689266 4062180 4482110 5378532 6723165 8964220 13446330 26892660 35408669 70817338 106226007 141634676 177043345 212452014 354086690 424904028 531130035 708173380 1062260070 2124520140