Base | Representation |
---|---|
bin | 1000000001111110… |
… | …0100010101110000 |
3 | 12120020102220100110 |
4 | 2000133210111300 |
5 | 13403333241320 |
6 | 553525221320 |
7 | 104264435355 |
oct | 20037442560 |
9 | 5506386313 |
10 | 2155758960 |
11 | a06962683 |
12 | 501b61840 |
13 | 284811624 |
14 | 16644262c |
15 | c93cd5e0 |
hex | 807e4570 |
2155758960 has 160 divisors (see below), whose sum is σ = 6808707072. Its totient is φ = 564157440.
The previous prime is 2155758949. The next prime is 2155759027. The reversal of 2155758960 is 698575512.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is an unprimeable number.
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, 3261030 + ... + 3261690.
Almost surely, 22155758960 is an apocalyptic number.
2155758960 is a gapful number since it is divisible by the number (20) 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 2155758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404353536).
2155758960 is an abundant number, since it is smaller than the sum of its proper divisors (4652948112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2155758960 is a wasteful number, since it uses less digits than its factorization.
2155758960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 911 (or 905 counting only the distinct ones).
The product of its (nonzero) digits is 756000, while the sum is 48.
The square root of 2155758960 is about 46430.1514104789. The cubic root of 2155758960 is about 1291.8142371436.
The spelling of 2155758960 in words is "two billion, one hundred fifty-five million, seven hundred fifty-eight thousand, nine hundred sixty".
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