| Base | Representation |
|---|---|
| bin | 1100110101111… |
| … | …11100110010100 |
| 3 | 21111201201212100 |
| 4 | 12122333212110 |
| 5 | 210040131130 |
| 6 | 14405122100 |
| 7 | 2445525306 |
| oct | 632774624 |
| 9 | 244651770 |
| 10 | 107739540 |
| 11 | 558a8347 |
| 12 | 300b9330 |
| 13 | 1942350c |
| 14 | 10447976 |
| 15 | 96d2c60 |
| hex | 66bf994 |
107739540 has 144 divisors (see below), whose sum is σ = 349916112. Its totient is φ = 26738688.
The previous prime is 107739529. The next prime is 107739547. The reversal of 107739540 is 45937701.
It is a happy number.
107739540 is a `hidden beast` number, since 10 + 77 + 39 + 540 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 20466576 + 87272964 = 4524^2 + 9342^2 .
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 = 107739495 and 107739504.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107739547) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419092 + ... + 419348.
It is an arithmetic number, because the mean of its divisors is an integer number (2429973).
Almost surely, 2107739540 is an apocalyptic number.
107739540 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 107739540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174958056).
107739540 is an abundant number, since it is smaller than the sum of its proper divisors (242176572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107739540 is a wasteful number, since it uses less digits than its factorization.
107739540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 426 (or 421 counting only the distinct ones).
The product of its (nonzero) digits is 26460, while the sum is 36.
The square root of 107739540 is about 10379.7658933138. The cubic root of 107739540 is about 475.8371792057.
The spelling of 107739540 in words is "one hundred seven million, seven hundred thirty-nine thousand, five hundred forty".
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