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2720248336 = 24132172592
BaseRepresentation
bin1010001000100011…
…1011001000010000
321000120121221012101
42202020323020100
521032340421321
61125532210144
7124260505111
oct24210731020
97016557171
102720248336
111176566923
1263b009954
13344755c00
141bb3c4208
1510dc34791
hexa223b210

2720248336 has 135 divisors (see below), whose sum is σ = 6167044551. Its totient is φ = 1161618432.

The previous prime is 2720248313. The next prime is 2720248339. The reversal of 2720248336 is 6338420272.

The square root of 2720248336 is 52156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 2695686400 = 4956^2 + 51920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2720248295 and 2720248304.

It is not an unprimeable number, because it can be changed into a prime (2720248339) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 46105875 + ... + 46105933.

Almost surely, 22720248336 is an apocalyptic number.

2720248336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2720248336 is the 52156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720248336

2720248336 is an abundant number, since it is smaller than the sum of its proper divisors (3446796215).

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

2720248336 is a wasteful number, since it uses less digits than its factorization.

2720248336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The cubic root of 2720248336 is about 1395.9488901740.

The spelling of 2720248336 in words is "two billion, seven hundred twenty million, two hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 59 68 104 118 136 169 208 221 236 272 289 338 442 472 578 676 767 884 944 1003 1156 1352 1534 1768 2006 2312 2704 2873 3068 3481 3536 3757 4012 4624 5746 6136 6962 7514 8024 9971 11492 12272 13039 13924 15028 16048 17051 19942 22984 26078 27848 30056 34102 39884 45253 45968 48841 52156 55696 59177 60112 68204 79768 90506 97682 104312 118354 136408 159536 169507 181012 195364 208624 221663 236708 272816 339014 362024 390728 443326 473416 588289 678028 724048 769301 781456 886652 946832 1006009 1176578 1356056 1538602 1773304 2012018 2353156 2712112 2881619 3077204 3546608 4024036 4706312 5763238 6154408 8048072 9412624 10000913 11526476 12308816 13078117 16096144 20001826 23052952 26156234 40003652 46105904 52312468 80007304 104624936 160014608 170015521 209249872 340031042 680062084 1360124168 2720248336