Base | Representation |
---|---|
bin | 1000000001010100… |
… | …0010110101100100 |
3 | 12120001020202011120 |
4 | 2000111002311210 |
5 | 13402132002132 |
6 | 553350133540 |
7 | 104232125532 |
oct | 20025026544 |
9 | 5501222146 |
10 | 2153000292 |
11 | a05348a93 |
12 | 5010512b0 |
13 | 284086a91 |
14 | 165d25152 |
15 | c903602c |
hex | 80542d64 |
2153000292 has 72 divisors (see below), whose sum is σ = 5361840960. Its totient is φ = 672253440.
The previous prime is 2153000287. The next prime is 2153000417. The reversal of 2153000292 is 2920003512.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 792817 + ... + 795527.
Almost surely, 22153000292 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2153000292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680920480).
2153000292 is an abundant number, since it is smaller than the sum of its proper divisors (3208840668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2153000292 is a wasteful number, since it uses less digits than its factorization.
2153000292 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2981 (or 2962 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 24.
The square root of 2153000292 is about 46400.4341790031. The cubic root of 2153000292 is about 1291.2629683694.
The spelling of 2153000292 in words is "two billion, one hundred fifty-three million, two hundred ninety-two", and thus it is an aban number.
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