Base | Representation |
---|---|
bin | 10000001110000… |
… | …100110110110000 |
3 | 200222001101211001 |
4 | 100032010312300 |
5 | 1024131002420 |
6 | 43000331344 |
7 | 6513012253 |
oct | 2016046660 |
9 | 628041731 |
10 | 272125360 |
11 | 12a6758a1 |
12 | 77173b54 |
13 | 444bb330 |
14 | 281d909a |
15 | 18d54b0a |
hex | 10384db0 |
272125360 has 80 divisors (see below), whose sum is σ = 684893664. Its totient is φ = 99956736.
The previous prime is 272125327. The next prime is 272125363. The reversal of 272125360 is 63521272.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (272125363) 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 15 ways as a sum of consecutive naturals, for example, 241759 + ... + 242881.
Almost surely, 2272125360 is an apocalyptic number.
272125360 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 272125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342446832).
272125360 is an abundant number, since it is smaller than the sum of its proper divisors (412768304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
272125360 is a wasteful number, since it uses less digits than its factorization.
272125360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 28.
The square root of 272125360 is about 16496.2225979162. Note that the first 3 decimals coincide. The cubic root of 272125360 is about 648.0218836282.
The spelling of 272125360 in words is "two hundred seventy-two million, one hundred twenty-five thousand, three hundred sixty".
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