| Base | Representation |
|---|---|
| bin | 11111001100010… |
| … | …01001111000100 |
| 3 | 200020100120200000 |
| 4 | 33212021033010 |
| 5 | 1013441020130 |
| 6 | 41544121300 |
| 7 | 6325023654 |
| oct | 1746111704 |
| 9 | 606316600 |
| 10 | 261657540 |
| 11 | 124776201 |
| 12 | 73766230 |
| 13 | 42294861 |
| 14 | 26a72364 |
| 15 | 17e88260 |
| hex | f9893c4 |
261657540 has 144 divisors (see below), whose sum is σ = 871782912. Its totient is φ = 65650176.
The previous prime is 261657521. The next prime is 261657541. The reversal of 261657540 is 45756162.
It is a happy number.
261657540 is a `hidden beast` number, since 2 + 61 + 6 + 57 + 540 = 666.
261657540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 261657495 and 261657504.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (261657541) 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, 81037 + ... + 84203.
It is an arithmetic number, because the mean of its divisors is an integer number (6054048).
Almost surely, 2261657540 is an apocalyptic number.
261657540 is a gapful number since it is divisible by the number (20) 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 261657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456).
261657540 is an abundant number, since it is smaller than the sum of its proper divisors (610125372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
261657540 is a wasteful number, since it uses less digits than its factorization.
261657540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3208 (or 3194 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The square root of 261657540 is about 16175.8319724211. The cubic root of 261657540 is about 639.6038727066.
The spelling of 261657540 in words is "two hundred sixty-one million, six hundred fifty-seven thousand, five hundred forty".
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