| Base | Representation |
|---|---|
| bin | 1110100011111… |
| … | …0110110000000 |
| 3 | 11020220220220020 |
| 4 | 3220332312000 |
| 5 | 111113343231 |
| 6 | 10021013440 |
| 7 | 1341061455 |
| oct | 350766600 |
| 9 | 136826806 |
| 10 | 61074816 |
| 11 | 31525460 |
| 12 | 18554280 |
| 13 | c86525a |
| 14 | 817b82c |
| 15 | 5566396 |
| hex | 3a3ed80 |
61074816 has 128 divisors (see below), whose sum is σ = 186537600. Its totient is φ = 17510400.
The previous prime is 61074809. The next prime is 61074817. The reversal of 61074816 is 61847016.
It is a happy number.
61074816 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 (128).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61074817) 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 15 ways as a sum of consecutive naturals, for example, 79876 + ... + 80636.
It is an arithmetic number, because the mean of its divisors is an integer number (1457325).
Almost surely, 261074816 is an apocalyptic number.
61074816 is a gapful number since it is divisible by the number (66) 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 61074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93268800).
61074816 is an abundant number, since it is smaller than the sum of its proper divisors (125462784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61074816 is a wasteful number, since it uses less digits than its factorization.
61074816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 808 (or 796 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 33.
The square root of 61074816 is about 7815.0378118087. The cubic root of 61074816 is about 393.8105886104.
The spelling of 61074816 in words is "sixty-one million, seventy-four thousand, eight hundred sixteen".
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