Search a number
-
+
5330416 = 247213523
BaseRepresentation
bin10100010101010111110000
3101000210221211
4110111113300
52331033131
6310125504
763210400
oct24252760
911023854
105330416
113010903
121950894
1311482c0
149ca800
157045b1
hex5155f0

5330416 has 60 divisors (see below), whose sum is σ = 12962712. Its totient is φ = 2104704.

The previous prime is 5330399. The next prime is 5330443. The reversal of 5330416 is 6140335.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9931 + ... + 10453.

Almost surely, 25330416 is an apocalyptic number.

5330416 is a gapful number since it is divisible by the number (56) 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 5330416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481356).

5330416 is an abundant number, since it is smaller than the sum of its proper divisors (7632296).

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

5330416 is a wasteful number, since it uses less digits than its factorization.

5330416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 5330416 is about 2308.7693691662. The cubic root of 5330416 is about 174.6842305694.

The spelling of 5330416 in words is "five million, three hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 523 637 728 784 1046 1274 1456 2092 2548 3661 4184 5096 6799 7322 8368 10192 13598 14644 25627 27196 29288 47593 51254 54392 58576 95186 102508 108784 190372 205016 333151 380744 410032 666302 761488 1332604 2665208 5330416