Base | Representation |
---|---|
bin | 100110000000… |
… | …110111101000 |
3 | 200202021110021 |
4 | 212000313220 |
5 | 10022340112 |
6 | 553330224 |
7 | 150462400 |
oct | 46006750 |
9 | 20667407 |
10 | 9965032 |
11 | 5696970 |
12 | 3406974 |
13 | 20ab98c |
14 | 1475800 |
15 | d1c907 |
hex | 980de8 |
9965032 has 48 divisors (see below), whose sum is σ = 23721120. Its totient is φ = 3880800.
The previous prime is 9965029. The next prime is 9965051. The reversal of 9965032 is 2305699.
It is a happy number.
It is a super-2 number, since 2×99650322 = 198603725522048, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3157 + ... + 5467.
It is an arithmetic number, because the mean of its divisors is an integer number (494190).
Almost surely, 29965032 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 9965032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860560).
9965032 is an abundant number, since it is smaller than the sum of its proper divisors (13756088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9965032 is a wasteful number, since it uses less digits than its factorization.
9965032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2342 (or 2331 counting only the distinct ones).
The product of its (nonzero) digits is 14580, while the sum is 34.
The square root of 9965032 is about 3156.7438920508. The cubic root of 9965032 is about 215.1920548192.
It can be divided in two parts, 996503 and 2, that multiplied together give a triangular number (1993006 = T1996).
The spelling of 9965032 in words is "nine million, nine hundred sixty-five thousand, thirty-two".
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