| Base | Representation |
|---|---|
| bin | 100010011110… |
| … | …000011100000 |
| 3 | 122000002001200 |
| 4 | 202132003200 |
| 5 | 4303123000 |
| 6 | 521401200 |
| 7 | 136543011 |
| oct | 42360340 |
| 9 | 18002050 |
| 10 | 9036000 |
| 11 | 5111976 |
| 12 | 3039200 |
| 13 | 1b44b5c |
| 14 | 12b3008 |
| 15 | bd7500 |
| hex | 89e0e0 |
9036000 has 144 divisors (see below), whose sum is σ = 32196528. Its totient is φ = 2400000.
The previous prime is 9035951. The next prime is 9036007. The reversal of 9036000 is 6309.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9036007) 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, 35875 + ... + 36125.
It is an arithmetic number, because the mean of its divisors is an integer number (223587).
Almost surely, 29036000 is an apocalyptic number.
9036000 is a gapful number since it is divisible by the number (90) 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 9036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264).
9036000 is an abundant number, since it is smaller than the sum of its proper divisors (23160528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9036000 is a wasteful number, since it uses less digits than its factorization.
9036000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 282 (or 261 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
The square root of 9036000 is about 3005.9940119701. The cubic root of 9036000 is about 208.2853578418.
It can be divided in two parts, 903 and 6000, that added together give a triangular number (6903 = T117).
The spelling of 9036000 in words is "nine million, thirty-six thousand".
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