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1420581168 = 243267732017
BaseRepresentation
bin101010010101100…
…0101100100110000
310200000002000000100
41110223011210300
510402132044133
6352543552400
750126512026
oct12453054460
93600060010
101420581168
11669976726
123378bb700
13198406596
14d694c716
1584aace13
hex54ac5930

1420581168 has 120 divisors (see below), whose sum is σ = 4092294128. Its totient is φ = 459841536.

The previous prime is 1420581163. The next prime is 1420581179. The reversal of 1420581168 is 8611850241.

1420581168 is a `hidden beast` number, since 14 + 2 + 0 + 581 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1420581163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703296 + ... + 705312.

Almost surely, 21420581168 is an apocalyptic number.

1420581168 is a gapful number since it is divisible by the number (18) 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 1420581168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046147064).

1420581168 is an abundant number, since it is smaller than the sum of its proper divisors (2671712960).

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

1420581168 is a wasteful number, since it uses less digits than its factorization.

1420581168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1420581168 is about 37690.5978726791. The cubic root of 1420581168 is about 1124.1441834938.

The spelling of 1420581168 in words is "one billion, four hundred twenty million, five hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 73 134 144 146 201 219 268 292 402 438 536 584 603 657 804 876 1072 1168 1206 1314 1608 1752 2017 2412 2628 3216 3504 4034 4824 4891 5256 6051 8068 9648 9782 10512 12102 14673 16136 18153 19564 24204 29346 32272 36306 39128 44019 48408 58692 72612 78256 88038 96816 117384 135139 145224 147241 176076 234768 270278 290448 294482 352152 405417 441723 540556 588964 704304 810834 883446 1081112 1177928 1216251 1325169 1621668 1766892 2162224 2355856 2432502 2650338 3243336 3533784 4865004 5300676 6486672 7067568 9730008 9865147 10601352 19460016 19730294 21202704 29595441 39460588 59190882 78921176 88786323 118381764 157842352 177572646 236763528 355145292 473527056 710290584 1420581168