Search a number
-
+
2028766131 = 327179179903
BaseRepresentation
bin111100011101100…
…1000001110110011
312020101110222221100
41320323020032303
513123331004011
6533151255443
7101163141030
oct17073101663
95211428840
102028766131
11951205027
1248751a583
13264409842
14153626387
15bd195d56
hex78ec83b3

2028766131 has 24 divisors (see below), whose sum is σ = 3367802880. Its totient is φ = 1152812016.

The previous prime is 2028766127. The next prime is 2028766133. The reversal of 2028766131 is 1316678202.

It is not a de Polignac number, because 2028766131 - 22 = 2028766127 is a prime.

It is a super-2 number, since 2×20287661312 = 8231784028585418322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028766133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78675 + ... + 101228.

It is an arithmetic number, because the mean of its divisors is an integer number (140325120).

Almost surely, 22028766131 is an apocalyptic number.

2028766131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2028766131 is a deficient number, since it is larger than the sum of its proper divisors (1339036749).

2028766131 is a wasteful number, since it uses less digits than its factorization.

2028766131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180095 (or 180092 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2028766131 is about 45041.8264616345. The cubic root of 2028766131 is about 1265.9328277590.

The spelling of 2028766131 in words is "two billion, twenty-eight million, seven hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 179 537 1253 1611 3759 11277 179903 539709 1259321 1619127 3777963 11333889 32202637 96607911 225418459 289823733 676255377 2028766131