| Base | Representation |
|---|---|
| bin | 1110101111001… |
| … | …0110100100000 |
| 3 | 11022022101010100 |
| 4 | 3223302310200 |
| 5 | 111310441000 |
| 6 | 10044502400 |
| 7 | 1350251625 |
| oct | 353626440 |
| 9 | 138271110 |
| 10 | 61812000 |
| 11 | 319892a8 |
| 12 | 1884aa00 |
| 13 | ca62963 |
| 14 | 82d034c |
| 15 | 565ea00 |
| hex | 3af2d20 |
61812000 has 288 divisors, whose sum is σ = 234574704. Its totient is φ = 15360000.
The previous prime is 61811977. The next prime is 61812007. The reversal of 61812000 is 21816.
61812000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 20903184 + 40908816 = 4572^2 + 6396^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (61812007) 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, 611950 + ... + 612050.
Almost surely, 261812000 is an apocalyptic number.
61812000 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 61812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117287352).
61812000 is an abundant number, since it is smaller than the sum of its proper divisors (172762704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61812000 is a wasteful number, since it uses less digits than its factorization.
61812000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 61812000 is about 7862.0607985439. The cubic root of 61812000 is about 395.3887109806.
Adding to 61812000 its reverse (21816), we get a palindrome (61833816).
The spelling of 61812000 in words is "sixty-one million, eight hundred twelve thousand".
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