| Base | Representation |
|---|---|
| bin | 1110100110101… |
| … | …0100101110000 |
| 3 | 11021021000200200 |
| 4 | 3221222211300 |
| 5 | 111140112000 |
| 6 | 10024515200 |
| 7 | 1342436043 |
| oct | 351524560 |
| 9 | 137230620 |
| 10 | 61254000 |
| 11 | 31638045 |
| 12 | 1861bb00 |
| 13 | c8c8992 |
| 14 | 81c6c5a |
| 15 | 559e500 |
| hex | 3a6a970 |
61254000 has 240 divisors, whose sum is σ = 221798304. Its totient is φ = 15744000.
The previous prime is 61253987. The next prime is 61254001. The reversal of 61254000 is 45216.
It is a happy number.
61254000 is a `hidden beast` number, since 612 + 54 + 0 + 0 + 0 = 666.
61254000 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 (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61254001) 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 47 ways as a sum of consecutive naturals, for example, 737959 + ... + 738041.
Almost surely, 261254000 is an apocalyptic number.
61254000 is a gapful number since it is divisible by the number (60) 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 61254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110899152).
61254000 is an abundant number, since it is smaller than the sum of its proper divisors (160544304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61254000 is a wasteful number, since it uses less digits than its factorization.
61254000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 134 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 61254000 is about 7826.4934677031. The cubic root of 61254000 is about 394.1953389047.
Adding to 61254000 its reverse (45216), we get a palindrome (61299216).
The spelling of 61254000 in words is "sixty-one million, two hundred fifty-four thousand".
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