Search a number
-
+
2140411320 = 233255945587
BaseRepresentation
bin111111110010100…
…0001010110111000
312112011120011100100
41333211001112320
513340421130240
6552220235400
7104020124145
oct17745012670
95464504310
102140411320
119a922a783
124b899bb60
13281599998
141643a93cc
15c7d9ae30
hex7f9415b8

2140411320 has 48 divisors (see below), whose sum is σ = 6956337960. Its totient is φ = 570776256.

The previous prime is 2140411297. The next prime is 2140411321. The reversal of 2140411320 is 231140412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2140411293 and 2140411302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140411321) 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 11 ways as a sum of consecutive naturals, for example, 2972434 + ... + 2973153.

Almost surely, 22140411320 is an apocalyptic number.

2140411320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140411320 is an abundant number, since it is smaller than the sum of its proper divisors (4815926640).

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

2140411320 is a wasteful number, since it uses less digits than its factorization.

2140411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945604 (or 5945597 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2140411320 is about 46264.5795398596. The cubic root of 2140411320 is about 1288.7412997318.

Adding to 2140411320 its reverse (231140412), we get a palindrome (2371551732).

The spelling of 2140411320 in words is "two billion, one hundred forty million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5945587 11891174 17836761 23782348 29727935 35673522 47564696 53510283 59455870 71347044 89183805 107020566 118911740 142694088 178367610 214041132 237823480 267551415 356735220 428082264 535102830 713470440 1070205660 2140411320