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2730671360 = 2857130047
BaseRepresentation
bin1010001011000010…
…1011110100000000
321001022020110220022
42202300223310000
521043022440420
61130543433012
7124445215664
oct24260536400
97038213808
102730671360
11118143589a
126425b5768
13346965191
141bc9388a4
1510eae2c25
hexa2c2bd00

2730671360 has 72 divisors (see below), whose sum is σ = 6633156096. Its totient is φ = 1076848640.

The previous prime is 2730671357. The next prime is 2730671413. The reversal of 2730671360 is 631760372.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2730671360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75857 + ... + 105903.

It is an arithmetic number, because the mean of its divisors is an integer number (92127168).

Almost surely, 22730671360 is an apocalyptic number.

2730671360 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 2730671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316578048).

2730671360 is an abundant number, since it is smaller than the sum of its proper divisors (3902484736).

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

2730671360 is an equidigital number, since it uses as much as digits as its factorization.

2730671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30139 (or 30125 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 2730671360 is about 52255.8260866671. The cubic root of 2730671360 is about 1397.7295443597.

The spelling of 2730671360 in words is "two billion, seven hundred thirty million, six hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 568 640 710 1136 1280 1420 2272 2840 4544 5680 9088 11360 18176 22720 30047 45440 60094 90880 120188 150235 240376 300470 480752 600940 961504 1201880 1923008 2133337 2403760 3846016 4266674 4807520 7692032 8533348 9615040 10666685 17066696 19230080 21333370 34133392 38460160 42666740 68266784 85333480 136533568 170666960 273067136 341333920 546134272 682667840 1365335680 2730671360