| Base | Representation |
|---|---|
| bin | 1100110110111… |
| … | …00001101010000 |
| 3 | 21111221200121100 |
| 4 | 12123130031100 |
| 5 | 210102403340 |
| 6 | 14411424400 |
| 7 | 2446524036 |
| oct | 633341520 |
| 9 | 244850540 |
| 10 | 107856720 |
| 11 | 55978394 |
| 12 | 30155100 |
| 13 | 1946495a |
| 14 | 10478556 |
| 15 | 9707830 |
| hex | 66dc350 |
107856720 has 120 divisors (see below), whose sum is σ = 368503200. Its totient is φ = 28263168.
The previous prime is 107856709. The next prime is 107856731. The reversal of 107856720 is 27658701.
107856720 is a `hidden beast` number, since 1 + 0 + 78 + 567 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (107856709) and next prime (107856731).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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, 41211 + ... + 43749.
It is an arithmetic number, because the mean of its divisors is an integer number (3070860).
Almost surely, 2107856720 is an apocalyptic number.
107856720 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 107856720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184251600).
107856720 is an abundant number, since it is smaller than the sum of its proper divisors (260646480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107856720 is a wasteful number, since it uses less digits than its factorization.
107856720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2617 (or 2608 counting only the distinct ones).
The product of its (nonzero) digits is 23520, while the sum is 36.
The square root of 107856720 is about 10385.4089953165. The cubic root of 107856720 is about 476.0096271857.
The spelling of 107856720 in words is "one hundred seven million, eight hundred fifty-six thousand, seven hundred twenty".
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