Base | Representation |
---|---|
bin | 111110101011… |
… | …000111000000 |
3 | 1010220201001011 |
4 | 332223013000 |
5 | 13201221004 |
6 | 1344050304 |
7 | 256435300 |
oct | 76530700 |
9 | 33821034 |
10 | 16429504 |
11 | 9301803 |
12 | 5603994 |
13 | 3533200 |
14 | 2279600 |
15 | 1698004 |
hex | fab1c0 |
16429504 has 126 divisors (see below), whose sum is σ = 42391584. Its totient is φ = 6289920.
The previous prime is 16429487. The next prime is 16429507. The reversal of 16429504 is 40592461.
16429504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (31).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16429507) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529969 + ... + 529999.
Almost surely, 216429504 is an apocalyptic number.
16429504 is a gapful number since it is divisible by the number (14) 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 16429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195792).
16429504 is an abundant number, since it is smaller than the sum of its proper divisors (25962080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16429504 is a wasteful number, since it uses less digits than its factorization.
16429504 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 83 (or 53 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 31.
The square root of 16429504 is about 4053.3324561403. The cubic root of 16429504 is about 254.2190847485.
Multiplying 16429504 by its sum of digits (31), we get a square (509314624 = 225682).
16429504 divided by its sum of digits (31) gives a square (529984 = 7282).
The spelling of 16429504 in words is "sixteen million, four hundred twenty-nine thousand, five hundred four".
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