Base | Representation |
---|---|
bin | 1000001100001100011100 |
3 | 11001002021020 |
4 | 20030030130 |
5 | 1022201400 |
6 | 114004140 |
7 | 24151524 |
oct | 10141434 |
9 | 4032236 |
10 | 2147100 |
11 | 123716a |
12 | 876650 |
13 | 5a2397 |
14 | 3dc684 |
15 | 2c62a0 |
hex | 20c31c |
2147100 has 72 divisors (see below), whose sum is σ = 6593328. Its totient is φ = 537600.
The previous prime is 2147099. The next prime is 2147107. The reversal of 2147100 is 17412.
It is a super-3 number, since 3×21471003 = 29694640410333000000, which contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 2147100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2147107) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4890 + ... + 5310.
It is an arithmetic number, because the mean of its divisors is an integer number (91574).
22147100 is an apocalyptic number.
2147100 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 2147100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296664).
2147100 is an abundant number, since it is smaller than the sum of its proper divisors (4446228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2147100 is a wasteful number, since it uses less digits than its factorization.
2147100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 455 (or 448 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 15.
The square root of 2147100 is about 1465.2986043807. The cubic root of 2147100 is about 129.0082321530.
The spelling of 2147100 in words is "two million, one hundred forty-seven thousand, one hundred".
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