Base | Representation |
---|---|
bin | 100000011010… |
… | …0110101100000 |
3 | 1011222100212210 |
4 | 1000310311200 |
5 | 13322244012 |
6 | 1404122120 |
7 | 264305055 |
oct | 100646540 |
9 | 34870783 |
10 | 16993632 |
11 | 9657627 |
12 | 5836340 |
13 | 369cc06 |
14 | 238502c |
15 | 175a23c |
hex | 1034d60 |
16993632 has 48 divisors (see below), whose sum is σ = 44861040. Its totient is φ = 5632512.
The previous prime is 16993607. The next prime is 16993651. The reversal of 16993632 is 23639961.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-4 number, since 4×169936324 (a number of 30 digits) contains 4444 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21598 + ... + 22370.
It is an arithmetic number, because the mean of its divisors is an integer number (934605).
Almost surely, 216993632 is an apocalyptic number.
16993632 is a gapful number since it is divisible by the number (12) 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 16993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22430520).
16993632 is an abundant number, since it is smaller than the sum of its proper divisors (27867408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16993632 is a wasteful number, since it uses less digits than its factorization.
With its successor (16993633) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1007).
16993632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).
The product of its digits is 52488, while the sum is 39.
The square root of 16993632 is about 4122.3333198566. Note that the first 4 decimals coincide. The cubic root of 16993632 is about 257.0960493284.
The spelling of 16993632 in words is "sixteen million, nine hundred ninety-three thousand, six hundred thirty-two".
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