Search a number
-
+
8116224 = 21131321
BaseRepresentation
bin11110111101100000000000
3120021100100220
4132331200000
54034204344
6445543040
7125662314
oct36754000
916240326
108116224
114643926
122874a80
1318b22cc
141113b44
15aa4c19
hex7bd800

8116224 has 48 divisors (see below), whose sum is σ = 21654360. Its totient is φ = 2703360.

The previous prime is 8116219. The next prime is 8116231. The reversal of 8116224 is 4226118.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8116194 and 8116203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5484 + ... + 6804.

Almost surely, 28116224 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 8116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827180).

8116224 is an abundant number, since it is smaller than the sum of its proper divisors (13538136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8116224 is a wasteful number, since it uses less digits than its factorization.

8116224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1326 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 8116224 is about 2848.8987345990. The cubic root of 8116224 is about 200.9638805423.

The spelling of 8116224 in words is "eight million, one hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1321 1536 2048 2642 3072 3963 5284 6144 7926 10568 15852 21136 31704 42272 63408 84544 126816 169088 253632 338176 507264 676352 1014528 1352704 2029056 2705408 4058112 8116224