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2712430080 = 29325117727
BaseRepresentation
bin1010000110101100…
…0110011000000000
321000000220201120100
42201223012120000
521023340230310
61125052442400
7124134163263
oct24153063000
97000821510
102712430080
111172106958
12638479400
13342c49419
141ba34acda
1510d1dcec0
hexa1ac6600

2712430080 has 120 divisors (see below), whose sum is σ = 9393988032. Its totient is φ = 723308544.

The previous prime is 2712430051. The next prime is 2712430093. The reversal of 2712430080 is 800342172.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35824 + ... + 81903.

Almost surely, 22712430080 is an apocalyptic number.

2712430080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2712430080 is an abundant number, since it is smaller than the sum of its proper divisors (6681557952).

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

2712430080 is a wasteful number, since it uses less digits than its factorization.

2712430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117756 (or 117737 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2712430080 is about 52080.9953821929. The cubic root of 2712430080 is about 1394.6102429848.

The spelling of 2712430080 in words is "two billion, seven hundred twelve million, four hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 117727 235454 353181 470908 588635 706362 941816 1059543 1177270 1412724 1765905 1883632 2119086 2354540 2825448 3531810 3767264 4238172 4709080 5297715 5650896 7063620 7534528 8476344 9418160 10595430 11301792 14127240 15069056 16952688 18836320 21190860 22603584 28254480 30138112 33905376 37672640 42381720 45207168 56508960 60276224 67810752 75345280 84763440 90414336 113017920 135621504 150690560 169526880 180828672 226035840 271243008 301381120 339053760 452071680 542486016 678107520 904143360 1356215040 2712430080