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2143041320 = 235766111579
BaseRepresentation
bin111111110111100…
…0011011100101000
312112100111210000202
41333233003130220
513342104310240
6552352451332
7104051356610
oct17757033450
95470453022
102143041320
119aa766732
124b9849b48
13281caaab4
14164891a40
15c821a315
hex7fbc3728

2143041320 has 64 divisors (see below), whose sum is σ = 5519491200. Its totient is φ = 733582080.

The previous prime is 2143041317. The next prime is 2143041323. The reversal of 2143041320 is 231403412.

It is an interprime number because it is at equal distance from previous prime (2143041317) and next prime (2143041323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2143041292 and 2143041301.

It is not an unprimeable number, because it can be changed into a prime (2143041323) 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 15 ways as a sum of consecutive naturals, for example, 179291 + ... + 190869.

It is an arithmetic number, because the mean of its divisors is an integer number (86242050).

Almost surely, 22143041320 is an apocalyptic number.

2143041320 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 2143041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759745600).

2143041320 is an abundant number, since it is smaller than the sum of its proper divisors (3376449880).

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

2143041320 is a wasteful number, since it uses less digits than its factorization.

2143041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258 (or 12254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2143041320 is about 46292.9942863928. The cubic root of 2143041320 is about 1289.2689245411.

Adding to 2143041320 its reverse (231403412), we get a palindrome (2374444732).

The spelling of 2143041320 in words is "two billion, one hundred forty-three million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 661 1322 2644 3305 4627 5288 6610 9254 11579 13220 18508 23135 23158 26440 37016 46270 46316 57895 81053 92540 92632 115790 162106 185080 231580 324212 405265 463160 648424 810530 1621060 3242120 7653719 15307438 30614876 38268595 53576033 61229752 76537190 107152066 153074380 214304132 267880165 306148760 428608264 535760330 1071520660 2143041320