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2140868576 = 257111914549
BaseRepresentation
bin111111110011011…
…0000111111100000
312112012102101120202
41333212300333200
513341030243301
6552234124332
7104024040230
oct17746607740
95465371522
102140868576
119a9512280
124b8b806a8
132816c9b52
14164487cc0
15c7e3b66b
hex7f9b0fe0

2140868576 has 96 divisors (see below), whose sum is σ = 5283532800. Its totient is φ = 829555200.

The previous prime is 2140868573. The next prime is 2140868593. The reversal of 2140868576 is 6758680412.

It is a self number, because there is not a number n which added to its sum of digits gives 2140868576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140868573) 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, 468350 + ... + 472898.

It is an arithmetic number, because the mean of its divisors is an integer number (55036800).

Almost surely, 22140868576 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 2140868576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

2140868576 is an abundant number, since it is smaller than the sum of its proper divisors (3142664224).

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

2140868576 is a wasteful number, since it uses less digits than its factorization.

2140868576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 2140868576 is about 46269.5210262652. The cubic root of 2140868576 is about 1288.8330644514.

The spelling of 2140868576 in words is "two billion, one hundred forty million, eight hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 191 224 308 352 382 616 764 1232 1337 1528 2101 2464 2674 3056 4202 4549 5348 6112 8404 9098 10696 14707 16808 18196 21392 29414 31843 33616 36392 42784 50039 58828 63686 67232 72784 100078 117656 127372 145568 200156 235312 254744 350273 400312 470624 509488 700546 800624 868859 1018976 1401092 1601248 1737718 2802184 3475436 5604368 6082013 6950872 9557449 11208736 12164026 13901744 19114898 24328052 27803488 38229796 48656104 66902143 76459592 97312208 133804286 152919184 194624416 267608572 305838368 535217144 1070434288 2140868576