Base | Representation |
---|---|
bin | 111101101001… |
… | …101111101000 |
3 | 1010102002210000 |
4 | 331221233220 |
5 | 13114134033 |
6 | 1334223000 |
7 | 254241600 |
oct | 75515750 |
9 | 33362700 |
10 | 16161768 |
11 | 9139637 |
12 | 54b4a60 |
13 | 346b39c |
14 | 2209c00 |
15 | 1643a13 |
hex | f69be8 |
16161768 has 120 divisors (see below), whose sum is σ = 52762050. Its totient is φ = 4608576.
The previous prime is 16161763. The next prime is 16161773. The reversal of 16161768 is 86716161.
It is an interprime number because it is at equal distance from previous prime (16161763) and next prime (16161773).
It can be written as a sum of positive squares in only one way, i.e., 11573604 + 4588164 = 3402^2 + 2142^2 .
It is a super-2 number, since 2×161617682 = 522405489771648, which contains 22 as substring.
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.
It is not an unprimeable number, because it can be changed into a prime (16161763) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31498 + ... + 32006.
Almost surely, 216161768 is an apocalyptic number.
16161768 is a gapful number since it is divisible by the number (18) 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 16161768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26381025).
16161768 is an abundant number, since it is smaller than the sum of its proper divisors (36600282).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16161768 is a wasteful number, since it uses less digits than its factorization.
16161768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 541 (or 521 counting only the distinct ones).
The product of its digits is 12096, while the sum is 36.
The square root of 16161768 is about 4020.1701456530. The cubic root of 16161768 is about 252.8305926898.
The spelling of 16161768 in words is "sixteen million, one hundred sixty-one thousand, seven hundred sixty-eight".
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