Base | Representation |
---|---|
bin | 100110011110… |
… | …1010010110000 |
3 | 1101221221112012 |
4 | 1030331102300 |
5 | 20131032000 |
6 | 2000222052 |
7 | 333322220 |
oct | 114752260 |
9 | 41857465 |
10 | 20174000 |
11 | 1042a030 |
12 | 690a928 |
13 | 42446a2 |
14 | 2972080 |
15 | 1b87735 |
hex | 133d4b0 |
20174000 has 160 divisors (see below), whose sum is σ = 61281792. Its totient is φ = 6240000.
The previous prime is 20173999. The next prime is 20174017. The reversal of 20174000 is 47102.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a nialpdrome in base 7.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153935 + ... + 154065.
Almost surely, 220174000 is an apocalyptic number.
20174000 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 20174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640896).
20174000 is an abundant number, since it is smaller than the sum of its proper divisors (41107792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20174000 is a wasteful number, since it uses less digits than its factorization.
20174000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 172 (or 156 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 14.
The square root of 20174000 is about 4491.5476174700. The cubic root of 20174000 is about 272.2266709132.
The spelling of 20174000 in words is "twenty million, one hundred seventy-four thousand".
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