| Base | Representation |
|---|---|
| bin | 111101101100… |
| … | …011001100000 |
| 3 | 1010102122200200 |
| 4 | 331230121200 |
| 5 | 13120011030 |
| 6 | 1334345200 |
| 7 | 254315361 |
| oct | 75543140 |
| 9 | 33378620 |
| 10 | 16172640 |
| 11 | 9146820 |
| 12 | 54bb200 |
| 13 | 3473313 |
| 14 | 220db68 |
| 15 | 1646d60 |
| hex | f6c660 |
16172640 has 144 divisors (see below), whose sum is σ = 60265296. Its totient is φ = 3916800.
The previous prime is 16172623. The next prime is 16172647. The reversal of 16172640 is 4627161.
16172640 is a `hidden beast` number, since 1 + 6 + 17 + 2 + 640 = 666.
16172640 is digitally balanced in base 2 and base 4, because in such bases 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 (144).
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16172647) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15330 + ... + 16350.
It is an arithmetic number, because the mean of its divisors is an integer number (418509).
Almost surely, 216172640 is an apocalyptic number.
16172640 is a gapful number since it is divisible by the number (10) 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 16172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132648).
16172640 is an abundant number, since it is smaller than the sum of its proper divisors (44092656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16172640 is a wasteful number, since it uses less digits than its factorization.
16172640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 16172640 is about 4021.5220999020. The cubic root of 16172640 is about 252.8872729175.
The spelling of 16172640 in words is "sixteen million, one hundred seventy-two thousand, six hundred forty".
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