Search a number
-
+
840128608 = 25112982301
BaseRepresentation
bin110010000100110…
…101100001100000
32011112211221210101
4302010311201200
53210033103413
6215210512144
726550655354
oct6204654140
92145757711
10840128608
113a125a070
121b5435654
13105093127
147d813464
154db51edd
hex32135860

840128608 has 48 divisors (see below), whose sum is σ = 1866609360. Its totient is φ = 368704000.

The previous prime is 840128591. The next prime is 840128617. The reversal of 840128608 is 806821048.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30943 + ... + 51358.

It is an arithmetic number, because the mean of its divisors is an integer number (38887695).

Almost surely, 2840128608 is an apocalyptic number.

840128608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

840128608 is an abundant number, since it is smaller than the sum of its proper divisors (1026480752).

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

840128608 is a wasteful number, since it uses less digits than its factorization.

840128608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82351 (or 82343 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 840128608 is about 28984.9721062484. The cubic root of 840128608 is about 943.5869470336.

The spelling of 840128608 in words is "eight hundred forty million, one hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 82301 164602 329204 658408 905311 1316816 1810622 2386729 2633632 3621244 4773458 7242488 9546916 14484976 19093832 26254019 28969952 38187664 52508038 76375328 105016076 210032152 420064304 840128608