Base | Representation |
---|---|
bin | 111110100111… |
… | …000010100000 |
3 | 1010212212011200 |
4 | 332213002200 |
5 | 13200202312 |
6 | 1343441200 |
7 | 256335552 |
oct | 76470240 |
9 | 33785150 |
10 | 16412832 |
11 | 92a0227 |
12 | 55b6200 |
13 | 3528747 |
14 | 22734d2 |
15 | 16930dc |
hex | fa70a0 |
16412832 has 36 divisors (see below), whose sum is σ = 46674810. Its totient is φ = 5470848.
The previous prime is 16412831. The next prime is 16412839. The reversal of 16412832 is 23821461.
It can be written as a sum of positive squares in only one way, i.e., 11048976 + 5363856 = 3324^2 + 2316^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 16412796 and 16412805.
It is not an unprimeable number, because it can be changed into a prime (16412831) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 28207 + ... + 28782.
Almost surely, 216412832 is an apocalyptic number.
16412832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
16412832 is an abundant number, since it is smaller than the sum of its proper divisors (30261978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16412832 is a wasteful number, since it uses less digits than its factorization.
16412832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57005 (or 56994 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 16412832 is about 4051.2753547494. The cubic root of 16412832 is about 254.1330652107.
It can be divided in two parts, 164 and 12832, that added together give a square (12996 = 1142).
The spelling of 16412832 in words is "sixteen million, four hundred twelve thousand, eight hundred thirty-two".
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