Base | Representation |
---|---|
bin | 100101110010… |
… | …100011110100 |
3 | 200122022001110 |
4 | 211302203310 |
5 | 10014001140 |
6 | 552155020 |
7 | 150126456 |
oct | 45624364 |
9 | 20568043 |
10 | 9906420 |
11 | 5656927 |
12 | 3398a70 |
13 | 208b0b4 |
14 | 145c2d6 |
15 | d0a380 |
hex | 9728f4 |
9906420 has 48 divisors (see below), whose sum is σ = 28421568. Its totient is φ = 2576640.
The previous prime is 9906401. The next prime is 9906439. The reversal of 9906420 is 246099.
9906420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (9906401) and next prime (9906439).
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447 + ... + 4473.
It is an arithmetic number, because the mean of its divisors is an integer number (592116).
Almost surely, 29906420 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9906420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210784).
9906420 is an abundant number, since it is smaller than the sum of its proper divisors (18515148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9906420 is a wasteful number, since it uses less digits than its factorization.
9906420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4080 (or 4078 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 30.
The square root of 9906420 is about 3147.4465841377. The cubic root of 9906420 is about 214.7693217251.
The spelling of 9906420 in words is "nine million, nine hundred six thousand, four hundred twenty".
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