| Base | Representation |
|---|---|
| bin | 1110110001110… |
| … | …0110101010000 |
| 3 | 11022122010011200 |
| 4 | 3230130311100 |
| 5 | 111331442310 |
| 6 | 10052311200 |
| 7 | 1351566414 |
| oct | 354346520 |
| 9 | 138563150 |
| 10 | 61984080 |
| 11 | 31a96614 |
| 12 | 18912500 |
| 13 | cac3092 |
| 14 | 8336d44 |
| 15 | 56959c0 |
| hex | 3b1cd50 |
61984080 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 14902272.
The previous prime is 61984079. The next prime is 61984121. The reversal of 61984080 is 8048916.
It is a happy number.
61984080 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 super-3 number, since 3×619840803 (a number of 24 digits) contains 333 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 an unprimeable number.
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, 314542 + ... + 314738.
It is an arithmetic number, because the mean of its divisors is an integer number (957528).
Almost surely, 261984080 is an apocalyptic number.
61984080 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 61984080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).
61984080 is an abundant number, since it is smaller than the sum of its proper divisors (167822640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61984080 is a wasteful number, since it uses less digits than its factorization.
61984080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258 (or 249 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 61984080 is about 7872.9968880979. The cubic root of 61984080 is about 395.7552819206.
The spelling of 61984080 in words is "sixty-one million, nine hundred eighty-four thousand, eighty".
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