Base | Representation |
---|---|
bin | 1111111000010… |
… | …0101011100000 |
3 | 11122022211011100 |
4 | 3332010223200 |
5 | 114022304434 |
6 | 10335314400 |
7 | 1436060004 |
oct | 376045340 |
9 | 148284140 |
10 | 66603744 |
11 | 34661419 |
12 | 1a37ba00 |
13 | 10a4c9cc |
14 | 8bba704 |
15 | 5ca9699 |
hex | 3f84ae0 |
66603744 has 72 divisors (see below), whose sum is σ = 190309392. Its totient is φ = 22095360.
The previous prime is 66603727. The next prime is 66603787. The reversal of 66603744 is 44730666.
66603744 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 (72).
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 = 66603699 and 66603708.
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 11 ways as a sum of consecutive naturals, for example, 80517 + ... + 81339.
It is an arithmetic number, because the mean of its divisors is an integer number (2643186).
Almost surely, 266603744 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 66603744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95154696).
66603744 is an abundant number, since it is smaller than the sum of its proper divisors (123705648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66603744 is a wasteful number, since it uses less digits than its factorization.
66603744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The square root of 66603744 is about 8161.1116889796. Note that the first 3 decimals coincide. The cubic root of 66603744 is about 405.3525234259.
It can be divided in two parts, 6660 and 3744, that added together give a square (10404 = 1022).
The spelling of 66603744 in words is "sixty-six million, six hundred three thousand, seven hundred forty-four".
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