Base | Representation |
---|---|
bin | 100001100011000… |
… | …1100010111000000 |
3 | 2220110012022221000 |
4 | 1003012030113000 |
5 | 4301134300320 |
6 | 303411332000 |
7 | 36616160223 |
oct | 10306142700 |
9 | 2813168830 |
10 | 1125696960 |
11 | 528476873 |
12 | 274bb1000 |
13 | 14c2aa19b |
14 | a970b5ba |
15 | 68c5ec90 |
hex | 4318c5c0 |
1125696960 has 224 divisors, whose sum is σ = 4009826880. Its totient is φ = 297271296.
The previous prime is 1125696947. The next prime is 1125696961. The reversal of 1125696960 is 696965211.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1125696961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975744 + ... + 976896.
Almost surely, 21125696960 is an apocalyptic number.
1125696960 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 1125696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004913440).
1125696960 is an abundant number, since it is smaller than the sum of its proper divisors (2884129920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1125696960 is a wasteful number, since it uses less digits than its factorization.
1125696960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1292 (or 1276 counting only the distinct ones).
The product of its (nonzero) digits is 174960, while the sum is 45.
The square root of 1125696960 is about 33551.4077200942. The cubic root of 1125696960 is about 1040.2566427770.
The spelling of 1125696960 in words is "one billion, one hundred twenty-five million, six hundred ninety-six thousand, nine hundred sixty".
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