Base | Representation |
---|---|
bin | 111111101000111… |
… | …100111110110000 |
3 | 2202102001210020210 |
4 | 333220330332300 |
5 | 4141312401034 |
6 | 253540304120 |
7 | 35313205260 |
oct | 7750747660 |
9 | 2672053223 |
10 | 1067700144 |
11 | 4a8763a15 |
12 | 2596a2040 |
13 | 140281c44 |
14 | a1b317a0 |
15 | 63b058e9 |
hex | 3fa3cfb0 |
1067700144 has 80 divisors (see below), whose sum is σ = 3175074560. Its totient is φ = 302849280.
The previous prime is 1067700143. The next prime is 1067700149. The reversal of 1067700144 is 4410077601.
It is a super-2 number, since 2×10677001442 = 2279967194995241472, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1067700143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35274 + ... + 58134.
It is an arithmetic number, because the mean of its divisors is an integer number (39688432).
Almost surely, 21067700144 is an apocalyptic number.
1067700144 is a gapful number since it is divisible by the number (14) 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 1067700144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587537280).
1067700144 is an abundant number, since it is smaller than the sum of its proper divisors (2107374416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1067700144 is a wasteful number, since it uses less digits than its factorization.
1067700144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23018 (or 23012 counting only the distinct ones).
The product of its (nonzero) digits is 4704, while the sum is 30.
The square root of 1067700144 is about 32675.6812323783. The cubic root of 1067700144 is about 1022.0757881049.
Adding to 1067700144 its reverse (4410077601), we get a palindrome (5477777745).
The spelling of 1067700144 in words is "one billion, sixty-seven million, seven hundred thousand, one hundred forty-four".
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