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2140062336 = 27331016131
BaseRepresentation
bin111111110001110…
…1100001010000000
312112010220102122000
41333203230022000
513340323443321
6552204544000
7104014141536
oct17743541200
95463812560
102140062336
119a9011565
124b8852000
132814a6b99
14164318156
15c7d2c826
hex7f8ec280

2140062336 has 128 divisors (see below), whose sum is σ = 6379732800. Its totient is φ = 706176000.

The previous prime is 2140062317. The next prime is 2140062377. The reversal of 2140062336 is 6332600412.

2140062336 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 0 + 623 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345991 + ... + 352121.

Almost surely, 22140062336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140062336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189866400).

2140062336 is an abundant number, since it is smaller than the sum of its proper divisors (4239670464).

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

2140062336 is a wasteful number, since it uses less digits than its factorization.

2140062336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2140062336 is about 46260.8077750486. The cubic root of 2140062336 is about 1288.6712548554.

Adding to 2140062336 its reverse (6332600412), we get a palindrome (8472662748).

The spelling of 2140062336 in words is "two billion, one hundred forty million, sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 288 303 384 404 432 576 606 808 864 909 1152 1212 1616 1728 1818 2424 2727 3232 3456 3636 4848 5454 6131 6464 7272 9696 10908 12262 12928 14544 18393 19392 21816 24524 29088 36786 38784 43632 49048 55179 58176 73572 87264 98096 110358 116352 147144 165537 174528 196192 220716 294288 331074 349056 392384 441432 588576 619231 662148 784768 882864 1177152 1238462 1324296 1765728 1857693 2354304 2476924 2648592 3531456 3715386 4953848 5297184 5573079 7062912 7430772 9907696 10594368 11146158 14861544 16719237 19815392 21188736 22292316 29723088 33438474 39630784 44584632 59446176 66876948 79261568 89169264 118892352 133753896 178338528 237784704 267507792 356677056 535015584 713354112 1070031168 2140062336