Base | Representation |
---|---|
bin | 111101100010… |
… | …011111000000 |
3 | 1010100120222200 |
4 | 331202133000 |
5 | 13112211112 |
6 | 1333433200 |
7 | 254056110 |
oct | 75423700 |
9 | 33316880 |
10 | 16132032 |
11 | 9119264 |
12 | 549b800 |
13 | 345a9a7 |
14 | 21dd040 |
15 | 1639cdc |
hex | f627c0 |
16132032 has 84 divisors (see below), whose sum is σ = 52858416. Its totient is φ = 4608000.
The previous prime is 16132019. The next prime is 16132049. The reversal of 16132032 is 23023161.
16132032 is a `hidden beast` number, since 1 + 613 + 20 + 32 = 666.
16132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (84).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 16131996 and 16132014.
It is a congruent number.
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, 2032 + ... + 6032.
Almost surely, 216132032 is an apocalyptic number.
16132032 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 16132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26429208).
16132032 is an abundant number, since it is smaller than the sum of its proper divisors (36726384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16132032 is a wasteful number, since it uses less digits than its factorization.
16132032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4026 (or 4013 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 16132032 is about 4016.4700920087. The cubic root of 16132032 is about 252.6754366839.
Adding to 16132032 its reverse (23023161), we get a palindrome (39155193).
The spelling of 16132032 in words is "sixteen million, one hundred thirty-two thousand, thirty-two".
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