| Base | Representation |
|---|---|
| bin | 1100110010001… |
| … | …00100101000000 |
| 3 | 21110210010122200 |
| 4 | 12121010211000 |
| 5 | 204423020043 |
| 6 | 14350233200 |
| 7 | 2441326242 |
| oct | 631044500 |
| 9 | 243703580 |
| 10 | 107235648 |
| 11 | 55593803 |
| 12 | 2bab5800 |
| 13 | 192a8060 |
| 14 | 10356092 |
| 15 | 96337d3 |
| hex | 6644940 |
107235648 has 84 divisors (see below), whose sum is σ = 331038708. Its totient is φ = 32993280.
The previous prime is 107235647. The next prime is 107235659. The reversal of 107235648 is 846532701.
107235648 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 3 + 5 + 648 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 100641024 = 2568^2 + 10032^2 .
It is a super-2 number, since 2×1072356482 = 22998968403959808, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107235641) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 14648.
It is an arithmetic number, because the mean of its divisors is an integer number (3940937).
Almost surely, 2107235648 is an apocalyptic number.
107235648 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 107235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165519354).
107235648 is an abundant number, since it is smaller than the sum of its proper divisors (223803060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107235648 is a wasteful number, since it uses less digits than its factorization.
107235648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14352 (or 14339 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 107235648 is about 10355.4646443315. The cubic root of 107235648 is about 475.0941981233.
The spelling of 107235648 in words is "one hundred seven million, two hundred thirty-five thousand, six hundred forty-eight".
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