Base | Representation |
---|---|
bin | 100010011110… |
… | …010010101100 |
3 | 122000010101200 |
4 | 202132102230 |
5 | 4303140342 |
6 | 521405500 |
7 | 136545600 |
oct | 42362254 |
9 | 18003350 |
10 | 9036972 |
11 | 511267a |
12 | 3039890 |
13 | 1b45429 |
14 | 12b3500 |
15 | bd794c |
hex | 89e4ac |
9036972 has 108 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 2503872.
The previous prime is 9036959. The next prime is 9036997. The reversal of 9036972 is 2796309.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82854 + ... + 82962.
Almost surely, 29036972 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 9036972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).
9036972 is an abundant number, since it is smaller than the sum of its proper divisors (18350388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9036972 is a wasteful number, since it uses less digits than its factorization.
9036972 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 20412, while the sum is 36.
The square root of 9036972 is about 3006.1556845912. The cubic root of 9036972 is about 208.2928259733.
It can be divided in two parts, 903 and 6972, that added together give a triangular number (7875 = T125).
The spelling of 9036972 in words is "nine million, thirty-six thousand, nine hundred seventy-two".
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