Base | Representation |
---|---|
bin | 100001101101010… |
… | …0110001010110000 |
3 | 2220211021001211000 |
4 | 1003122212022300 |
5 | 4304021424202 |
6 | 304122122000 |
7 | 40012504620 |
oct | 10332461260 |
9 | 2824231730 |
10 | 1131045552 |
11 | 53049a29a |
12 | 276950300 |
13 | 150430830 |
14 | aa300880 |
15 | 6946991c |
hex | 436a62b0 |
1131045552 has 160 divisors (see below), whose sum is σ = 3995855360. Its totient is φ = 298287360.
The previous prime is 1131045551. The next prime is 1131045583. The reversal of 1131045552 is 2555401311.
1131045552 is a `hidden beast` number, since 1 + 1 + 3 + 104 + 5 + 552 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1131045551) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 24927 + ... + 53697.
It is an arithmetic number, because the mean of its divisors is an integer number (24974096).
Almost surely, 21131045552 is an apocalyptic number.
1131045552 is a gapful number since it is divisible by the number (12) 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 1131045552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997927680).
1131045552 is an abundant number, since it is smaller than the sum of its proper divisors (2864809808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131045552 is a wasteful number, since it uses less digits than its factorization.
1131045552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28808 (or 28796 counting only the distinct ones).
The product of its (nonzero) digits is 3000, while the sum is 27.
The square root of 1131045552 is about 33631.0206803183. The cubic root of 1131045552 is about 1041.9015850357.
Adding to 1131045552 its reverse (2555401311), we get a palindrome (3686446863).
The spelling of 1131045552 in words is "one billion, one hundred thirty-one million, forty-five thousand, five hundred fifty-two".
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