Base | Representation |
---|---|
bin | 111110000101… |
… | …010111100100 |
3 | 1010121211222200 |
4 | 332011113210 |
5 | 13131244131 |
6 | 1340454500 |
7 | 255222510 |
oct | 76052744 |
9 | 33554880 |
10 | 16274916 |
11 | 9206649 |
12 | 554a430 |
13 | 34aaa38 |
14 | 2239140 |
15 | 16672e6 |
hex | f855e4 |
16274916 has 144 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 4193280.
The previous prime is 16274911. The next prime is 16274953. The reversal of 16274916 is 61947261.
16274916 is a `hidden beast` number, since 162 + 7 + 491 + 6 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (18144) is a multiple of the sum of its prime divisors (189).
It is not an unprimeable number, because it can be changed into a prime (16274911) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124171 + ... + 124301.
It is an arithmetic number, because the mean of its divisors is an integer number (360360).
Almost surely, 216274916 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 16274916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).
16274916 is an abundant number, since it is smaller than the sum of its proper divisors (35616924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16274916 is a wasteful number, since it uses less digits than its factorization.
16274916 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194 (or 189 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 16274916 is about 4034.2181398630. The cubic root of 16274916 is about 253.4192406402.
It can be divided in two parts, 162 and 74916, that added together give a triangular number (75078 = T387).
The spelling of 16274916 in words is "sixteen million, two hundred seventy-four thousand, nine hundred sixteen".
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