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2140487856 = 24351342349
BaseRepresentation
bin111111110010101…
…0100000010110000
312112011201001100000
41333211110002300
513340431102411
6552222030000
7104020563243
oct17745240260
95464631300
102140487856
119a9282231
124b8a18300
132815c5780
141643c925a
15c7db3956
hex7f9540b0

2140487856 has 120 divisors (see below), whose sum is σ = 6690283600. Its totient is φ = 658596096.

The previous prime is 2140487821. The next prime is 2140487873. The reversal of 2140487856 is 6587840412.

It is a super-3 number, since 3×21404878563 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29370 + ... + 71718.

Almost surely, 22140487856 is an apocalyptic number.

2140487856 is a gapful number since it is divisible by the number (26) 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 2140487856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345141800).

2140487856 is an abundant number, since it is smaller than the sum of its proper divisors (4549795744).

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

2140487856 is a wasteful number, since it uses less digits than its factorization.

2140487856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42385 (or 42367 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2140487856 is about 46265.4066879348. The cubic root of 2140487856 is about 1288.7566603197.

The spelling of 2140487856 in words is "two billion, one hundred forty million, four hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 42349 50544 84698 127047 169396 254094 338792 381141 508188 550537 677584 762282 1016376 1101074 1143423 1524564 1651611 2032752 2202148 2286846 3049128 3303222 3430269 4404296 4573692 4954833 6098256 6606444 6860538 8808592 9147384 9909666 10290807 13212888 13721076 14864499 18294768 19819332 20581614 26425776 27442152 29728998 39638664 41163228 44593497 54884304 59457996 79277328 82326456 89186994 118915992 133780491 164652912 178373988 237831984 267560982 356747976 535121964 713495952 1070243928 2140487856