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108868752 = 24332310957
BaseRepresentation
bin1100111110100…
…11010010010000
321120212002212000
412133103102100
5210332300002
614445234000
72461240416
oct637232220
9246762760
10108868752
11564a9783
1230562900
131972a4a5
141065d2b6
15985761c
hex67d3490

108868752 has 80 divisors (see below), whose sum is σ = 326110080. Its totient is φ = 34708608.

The previous prime is 108868751. The next prime is 108868759. The reversal of 108868752 is 257868801.

It is a junction number, because it is equal to n+sod(n) for n = 108868698 and 108868707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108868751) 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, 4458 + ... + 15414.

It is an arithmetic number, because the mean of its divisors is an integer number (4076376).

Almost surely, 2108868752 is an apocalyptic number.

108868752 is a gapful number since it is divisible by the number (12) 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 108868752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163055040).

108868752 is an abundant number, since it is smaller than the sum of its proper divisors (217241328).

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

108868752 is a wasteful number, since it uses less digits than its factorization.

108868752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 108868752 is about 10434.0189764060. The cubic root of 108868752 is about 477.4938124067.

The spelling of 108868752 in words is "one hundred eight million, eight hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 10957 21914 32871 43828 65742 87656 98613 131484 175312 197226 252011 262968 295839 394452 504022 525936 591678 756033 788904 1008044 1183356 1512066 1577808 2016088 2268099 2366712 3024132 4032176 4536198 4733424 6048264 6804297 9072396 12096528 13608594 18144792 27217188 36289584 54434376 108868752