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108090828 = 223317113521
BaseRepresentation
bin1100111000101…
…01010111001100
321112101120202000
412130111113030
5210132401303
614420432300
72451520416
oct634252714
9245346660
10108090828
115601826a
1230248690
1319517391
14104d99b6
159751da3
hex67155cc

108090828 has 96 divisors (see below), whose sum is σ = 299920320. Its totient is φ = 33546240.

The previous prime is 108090821. The next prime is 108090833. The reversal of 108090828 is 828090801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108090792 and 108090801.

It is not an unprimeable number, because it can be changed into a prime (108090821) 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, 207208 + ... + 207728.

It is an arithmetic number, because the mean of its divisors is an integer number (3124170).

Almost surely, 2108090828 is an apocalyptic number.

108090828 is a gapful number since it is divisible by the number (18) 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 108090828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149960160).

108090828 is an abundant number, since it is smaller than the sum of its proper divisors (191829492).

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

108090828 is a wasteful number, since it uses less digits than its factorization.

108090828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 108090828 is about 10396.6738912019. The cubic root of 108090828 is about 476.3537786118.

The spelling of 108090828 in words is "one hundred eight million, ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 113 153 204 226 306 339 452 459 521 612 678 918 1017 1042 1356 1563 1836 1921 2034 2084 3051 3126 3842 4068 4689 5763 6102 6252 7684 8857 9378 11526 12204 14067 17289 17714 18756 23052 26571 28134 34578 35428 51867 53142 56268 58873 69156 79713 103734 106284 117746 159426 176619 207468 235492 239139 318852 353238 478278 529857 706476 956556 1000841 1059714 1589571 2001682 2119428 3002523 3179142 4003364 6005046 6358284 9007569 12010092 18015138 27022707 36030276 54045414 108090828