Base | Representation |
---|---|
bin | 1100110101110… |
… | …11000011100000 |
3 | 21111200210100000 |
4 | 12122323003200 |
5 | 210034032203 |
6 | 14404500000 |
7 | 2445420120 |
oct | 632730340 |
9 | 244623300 |
10 | 107720928 |
11 | 55895367 |
12 | 300aa600 |
13 | 19417bc3 |
14 | 10440c80 |
15 | 96cc4a3 |
hex | 66bb0e0 |
107720928 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 30761856.
The previous prime is 107720927. The next prime is 107720929. The reversal of 107720928 is 829027701.
It is an interprime number because it is at equal distance from previous prime (107720927) and next prime (107720929).
It is a tau number, because it is divible by the number of its divisors (144).
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 = 107720892 and 107720901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107720923) 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 23 ways as a sum of consecutive naturals, for example, 53443 + ... + 55421.
It is an arithmetic number, because the mean of its divisors is an integer number (2522520).
Almost surely, 2107720928 is an apocalyptic number.
107720928 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 107720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).
107720928 is an abundant number, since it is smaller than the sum of its proper divisors (255521952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107720928 is an equidigital number, since it uses as much as digits as its factorization.
107720928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2011 (or 1991 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 36.
The square root of 107720928 is about 10378.8693025782. The cubic root of 107720928 is about 475.8097773450.
The spelling of 107720928 in words is "one hundred seven million, seven hundred twenty thousand, nine hundred twenty-eight".
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