| Base | Representation |
|---|---|
| bin | 1110100100101… |
| … | …1100111100000 |
| 3 | 11021000120200000 |
| 4 | 3221023213200 |
| 5 | 111122032021 |
| 6 | 10022100000 |
| 7 | 1341400140 |
| oct | 351134740 |
| 9 | 137016600 |
| 10 | 61127136 |
| 11 | 315607a4 |
| 12 | 1857a600 |
| 13 | c883005 |
| 14 | 8192920 |
| 15 | 5576b26 |
| hex | 3a4b9e0 |
61127136 has 144 divisors (see below), whose sum is σ = 206204544. Its totient is φ = 17449344.
The previous prime is 61127117. The next prime is 61127137. The reversal of 61127136 is 63172116.
61127136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61127137) 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, 53871 + ... + 54993.
It is an arithmetic number, because the mean of its divisors is an integer number (1431976).
Almost surely, 261127136 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 61127136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103102272).
61127136 is an abundant number, since it is smaller than the sum of its proper divisors (145077408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61127136 is a wasteful number, since it uses less digits than its factorization.
61127136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1155 (or 1135 counting only the distinct ones).
The product of its digits is 1512, while the sum is 27.
The square root of 61127136 is about 7818.3844878594. The cubic root of 61127136 is about 393.9230096845.
The spelling of 61127136 in words is "sixty-one million, one hundred twenty-seven thousand, one hundred thirty-six".
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