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832108116 = 2237194711093
BaseRepresentation
bin110001100110001…
…111011001010100
32010222202110202010
4301212033121110
53201004424431
6214322544220
726422542120
oct6146173124
92128673663
10832108116
11397781164
121b2808070
13103515588
147c726580
154d0ba846
hex3198f654

832108116 has 96 divisors (see below), whose sum is σ = 2385653760. Its totient is φ = 220420224.

The previous prime is 832108111. The next prime is 832108127. The reversal of 832108116 is 611801238.

832108116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832108111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69466 + ... + 80558.

It is an arithmetic number, because the mean of its divisors is an integer number (24850560).

Almost surely, 2832108116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832108116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192826880).

832108116 is an abundant number, since it is smaller than the sum of its proper divisors (1553545644).

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

832108116 is a wasteful number, since it uses less digits than its factorization.

832108116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 832108116 is about 28846.2842667821. The cubic root of 832108116 is about 940.5746132117.

The spelling of 832108116 in words is "eight hundred thirty-two million, one hundred eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 84 94 114 133 141 188 228 266 282 329 399 532 564 658 798 893 987 1316 1596 1786 1974 2679 3572 3948 5358 6251 10716 11093 12502 18753 22186 25004 33279 37506 44372 66558 75012 77651 133116 155302 210767 232953 310604 421534 465906 521371 632301 843068 931812 1042742 1264602 1475369 1564113 2085484 2529204 2950738 3128226 3649597 4426107 5901476 6256452 7299194 8852214 9906049 10948791 14598388 17704428 19812098 21897582 29718147 39624196 43795164 59436294 69342343 118872588 138684686 208027029 277369372 416054058 832108116