Base | Representation |
---|---|
bin | 100110110010… |
… | …1110110000100 |
3 | 1102021101101001 |
4 | 1031211312010 |
5 | 20201340400 |
6 | 2003543044 |
7 | 334613404 |
oct | 115456604 |
9 | 42241331 |
10 | 20340100 |
11 | 10532900 |
12 | 698aa84 |
13 | 42a2181 |
14 | 29b6804 |
15 | 1bbba6a |
hex | 1365d84 |
20340100 has 81 divisors (see below), whose sum is σ = 49727503. Its totient is φ = 7216000.
The previous prime is 20340097. The next prime is 20340101. The reversal of 20340100 is 104302.
The square root of 20340100 is 4510.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 8561476 + 11778624 = 2926^2 + 3432^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (20340101) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 496080 + ... + 496120.
Almost surely, 220340100 is an apocalyptic number.
20340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
20340100 is the 4510-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20340100
20340100 is an abundant number, since it is smaller than the sum of its proper divisors (29387403).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20340100 is a wasteful number, since it uses less digits than its factorization.
20340100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 118 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The cubic root of 20340100 is about 272.9717440913.
Adding to 20340100 its reverse (104302), we get a palindrome (20444402).
The spelling of 20340100 in words is "twenty million, three hundred forty thousand, one hundred".
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