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108828880 = 2452961769
BaseRepresentation
bin1100111110010…
…01100011010000
321120210002011021
412133021203100
5210330011010
614444325224
72461013236
oct637114320
9246702137
10108828880
1156481826
1230543814
13197152b4
141064c956
15984a8da
hex67c98d0

108828880 has 80 divisors (see below), whose sum is σ = 266389200. Its totient is φ = 41287680.

The previous prime is 108828869. The next prime is 108828887. The reversal of 108828880 is 88828801.

It can be written as a sum of positive squares in 8 ways, for example, as 17740944 + 91087936 = 4212^2 + 9544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108828887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141136 + ... + 141904.

It is an arithmetic number, because the mean of its divisors is an integer number (3329865).

Almost surely, 2108828880 is an apocalyptic number.

108828880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133194600).

108828880 is an abundant number, since it is smaller than the sum of its proper divisors (157560320).

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

108828880 is a wasteful number, since it uses less digits than its factorization.

108828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 43.

The square root of 108828880 is about 10432.1081282740. The cubic root of 108828880 is about 477.4355129784.

The spelling of 108828880 in words is "one hundred eight million, eight hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 116 122 145 232 244 290 305 464 488 580 610 769 976 1160 1220 1538 1769 2320 2440 3076 3538 3845 4880 6152 7076 7690 8845 12304 14152 15380 17690 22301 28304 30760 35380 44602 46909 61520 70760 89204 93818 111505 141520 178408 187636 223010 234545 356816 375272 446020 469090 750544 892040 938180 1360361 1784080 1876360 2720722 3752720 5441444 6801805 10882888 13603610 21765776 27207220 54414440 108828880