Base | Representation |
---|---|
bin | 1111110101110… |
… | …1001011101000 |
3 | 11122000121020100 |
4 | 3331131023220 |
5 | 114002120320 |
6 | 10332025400 |
7 | 1434514224 |
oct | 375351350 |
9 | 148017210 |
10 | 66441960 |
11 | 34560912 |
12 | 1a302260 |
13 | 109c4190 |
14 | 8b77784 |
15 | 5c76790 |
hex | 3f5d2e8 |
66441960 has 96 divisors (see below), whose sum is σ = 232563240. Its totient is φ = 16353792.
The previous prime is 66441937. The next prime is 66441979. The reversal of 66441960 is 6914466.
66441960 is a `hidden beast` number, since 6 + 644 + 1 + 9 + 6 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 60000516 + 6441444 = 7746^2 + 2538^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2419 + ... + 11778.
Almost surely, 266441960 is an apocalyptic number.
66441960 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 66441960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281620).
66441960 is an abundant number, since it is smaller than the sum of its proper divisors (166121280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66441960 is a wasteful number, since it uses less digits than its factorization.
66441960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14227 (or 14220 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 66441960 is about 8151.1937776009. The cubic root of 66441960 is about 405.0240497835.
It can be divided in two parts, 664 and 41960, that added together give a palindrome (42624).
The spelling of 66441960 in words is "sixty-six million, four hundred forty-one thousand, nine hundred sixty".
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