Base | Representation |
---|---|
bin | 101101100100… |
… | …0111010100000 |
3 | 1122221211010200 |
4 | 1123020322200 |
5 | 22104012431 |
6 | 2212025200 |
7 | 410034600 |
oct | 133107240 |
9 | 48854120 |
10 | 23891616 |
11 | 12539141 |
12 | 8002200 |
13 | 4c46868 |
14 | 325cc00 |
15 | 216dee6 |
hex | 16c8ea0 |
23891616 has 108 divisors (see below), whose sum is σ = 79081002. Its totient is φ = 6822144.
The previous prime is 23891591. The next prime is 23891627. The reversal of 23891616 is 61619832.
23891616 is a `hidden beast` number, since 2 + 38 + 9 + 1 + 616 = 666.
It can be written as a sum of positive squares in only one way, i.e., 21344400 + 2547216 = 4620^2 + 1596^2 .
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 an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 13266 + ... + 14958.
Almost surely, 223891616 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 23891616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39540501).
23891616 is an abundant number, since it is smaller than the sum of its proper divisors (55189386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23891616 is a wasteful number, since it uses less digits than its factorization.
23891616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1723 (or 1705 counting only the distinct ones).
The product of its digits is 15552, while the sum is 36.
The square root of 23891616 is about 4887.9050727280. The cubic root of 23891616 is about 288.0150455103.
It can be divided in two parts, 2389 and 1616, that added together give a triangular number (4005 = T89).
The spelling of 23891616 in words is "twenty-three million, eight hundred ninety-one thousand, six hundred sixteen".
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