Base | Representation |
---|---|
bin | 100110010110… |
… | …1110010010000 |
3 | 1101211201101121 |
4 | 1030231302100 |
5 | 20122013410 |
6 | 1555012024 |
7 | 332636065 |
oct | 114556220 |
9 | 41751347 |
10 | 20110480 |
11 | 10396335 |
12 | 689a014 |
13 | 42217c0 |
14 | 2956c6c |
15 | 1b739da |
hex | 132dc90 |
20110480 has 80 divisors (see below), whose sum is σ = 51340464. Its totient is φ = 7280640.
The previous prime is 20110429. The next prime is 20110481. The reversal of 20110480 is 8401102.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 11182336 + 8928144 = 3344^2 + 2988^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (20110481) 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, 63282 + ... + 63598.
Almost surely, 220110480 is an apocalyptic number.
20110480 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 20110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25670232).
20110480 is an abundant number, since it is smaller than the sum of its proper divisors (31229984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20110480 is a wasteful number, since it uses less digits than its factorization.
20110480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 404 (or 398 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
The square root of 20110480 is about 4484.4709832933. The cubic root of 20110480 is about 271.9406589117.
20110480 divided by its sum of digits (16) gives a triangular number (1256905 = T1585).
Adding to 20110480 its reverse (8401102), we get a palindrome (28511582).
The spelling of 20110480 in words is "twenty million, one hundred ten thousand, four hundred eighty".
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