Base | Representation |
---|---|
bin | 100000101100110… |
… | …0100111111000000 |
3 | 2211110121202112200 |
4 | 1001121210333000 |
5 | 4221342133003 |
6 | 300513153200 |
7 | 36122152110 |
oct | 10131447700 |
9 | 2743552480 |
10 | 1097224128 |
11 | 513399800 |
12 | 26755b800 |
13 | 14641b360 |
14 | a5a19040 |
15 | 664d86a3 |
hex | 41664fc0 |
1097224128 has 504 divisors, whose sum is σ = 4279233504. Its totient is φ = 261550080.
The previous prime is 1097224123. The next prime is 1097224147. The reversal of 1097224128 is 8214227901.
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1097224092 and 1097224101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1097224123) 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 71 ways as a sum of consecutive naturals, for example, 6342250 + ... + 6342422.
Almost surely, 21097224128 is an apocalyptic number.
1097224128 is a gapful number since it is divisible by the number (18) 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 1097224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139616752).
1097224128 is an abundant number, since it is smaller than the sum of its proper divisors (3182009376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1097224128 is a wasteful number, since it uses less digits than its factorization.
1097224128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 233 (or 209 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 1097224128 is about 33124.3736242665. The cubic root of 1097224128 is about 1031.4110575119.
The spelling of 1097224128 in words is "one billion, ninety-seven million, two hundred twenty-four thousand, one hundred twenty-eight".
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