Base | Representation |
---|---|
bin | 100011000010010110000 |
3 | 2011022212111 |
4 | 10120102300 |
5 | 243214310 |
6 | 40335104 |
7 | 12521113 |
oct | 4302260 |
9 | 2138774 |
10 | 1148080 |
11 | 71462a |
12 | 474494 |
13 | 31274b |
14 | 21c57a |
15 | 17a28a |
hex | 1184b0 |
1148080 has 40 divisors (see below), whose sum is σ = 2714112. Its totient is φ = 451584.
The previous prime is 1148047. The next prime is 1148087. The reversal of 1148080 is 808411.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×11480803 = 4539810333006336000, which contains 333 as substring.
It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (1148087) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8977 + ... + 9103.
21148080 is an apocalyptic number.
1148080 is a gapful number since it is divisible by the number (10) 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 1148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056).
1148080 is an abundant number, since it is smaller than the sum of its proper divisors (1566032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1148080 is a wasteful number, since it uses less digits than its factorization.
1148080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 253 (or 247 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 22.
The square root of 1148080 is about 1071.4849508976. The cubic root of 1148080 is about 104.7106166371.
The spelling of 1148080 in words is "one million, one hundred forty-eight thousand, eighty".
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