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2714720640 = 27357012017
BaseRepresentation
bin1010000111001111…
…0101100110000000
321000012020002121220
42201303311212000
521024432030030
61125213515040
7124162513302
oct24163654600
97005202556
102714720640
111173430885
126391a2a80
1334356bb98
141ba785972
1510d4e1a10
hexa1cf5980

2714720640 has 128 divisors (see below), whose sum is σ = 8669812320. Its totient is φ = 722534400.

The previous prime is 2714720639. The next prime is 2714720753. The reversal of 2714720640 is 460274172.

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

It is a congruent number.

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, 1344912 + ... + 1346928.

Almost surely, 22714720640 is an apocalyptic number.

2714720640 is a gapful number since it is divisible by the number (20) 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 2714720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334906160).

2714720640 is an abundant number, since it is smaller than the sum of its proper divisors (5955091680).

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

2714720640 is a wasteful number, since it uses less digits than its factorization.

2714720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2714720640 is about 52102.9811047314. The cubic root of 2714720640 is about 1395.0027003712.

The spelling of 2714720640 in words is "two billion, seven hundred fourteen million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 701 960 1402 1920 2017 2103 2804 3505 4034 4206 5608 6051 7010 8068 8412 10085 10515 11216 12102 14020 16136 16824 20170 21030 22432 24204 28040 30255 32272 33648 40340 42060 44864 48408 56080 60510 64544 67296 80680 84120 89728 96816 112160 121020 129088 134592 161360 168240 193632 224320 242040 258176 269184 322720 336480 387264 448640 484080 645440 672960 774528 968160 1290880 1345920 1413917 1936320 2827834 3872640 4241751 5655668 7069585 8483502 11311336 14139170 16967004 21208755 22622672 28278340 33934008 42417510 45245344 56556680 67868016 84835020 90490688 113113360 135736032 169670040 180981376 226226720 271472064 339340080 452453440 542944128 678680160 904906880 1357360320 2714720640