| Base | Representation |
|---|---|
| bin | 1111110110101… |
| … | …1101000000000 |
| 3 | 11122010121101110 |
| 4 | 3331223220000 |
| 5 | 114011013440 |
| 6 | 10333203320 |
| 7 | 1435151550 |
| oct | 375535000 |
| 9 | 148117343 |
| 10 | 66501120 |
| 11 | 345a1304 |
| 12 | 1a330540 |
| 13 | 10a1509a |
| 14 | 8b91160 |
| 15 | 5c89080 |
| hex | 3f6ba00 |
66501120 has 160 divisors (see below), whose sum is σ = 243163008. Its totient is φ = 15187968.
The previous prime is 66501103. The next prime is 66501131. The reversal of 66501120 is 2110566.
It is a happy number.
66501120 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 (160).
It is a super-2 number, since 2×665011202 = 8844797922508800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
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 15 ways as a sum of consecutive naturals, for example, 53142 + ... + 54378.
Almost surely, 266501120 is an apocalyptic number.
66501120 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 66501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121581504).
66501120 is an abundant number, since it is smaller than the sum of its proper divisors (176661888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66501120 is a wasteful number, since it uses less digits than its factorization.
66501120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 21.
The square root of 66501120 is about 8154.8218864669. The cubic root of 66501120 is about 405.1442254206.
Adding to 66501120 its reverse (2110566), we get a palindrome (68611686).
The spelling of 66501120 in words is "sixty-six million, five hundred one thousand, one hundred twenty".
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