Search a number
-
+
5355214080 = 283579127139
BaseRepresentation
bin1001111110011001…
…00001010100000000
3111211012210001200020
410333030201110000
541431413322310
62243220453440
7246464366016
oct47714412400
914735701606
105355214080
1122a8973667
12105554a280
1367461c138
1438b3288b6
15215220170
hex13f321500

5355214080 has 288 divisors, whose sum is σ = 17581670400. Its totient is φ = 1388814336.

The previous prime is 5355214079. The next prime is 5355214093. The reversal of 5355214080 is 804125535.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38526651 + ... + 38526789.

Almost surely, 25355214080 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 5355214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790835200).

5355214080 is an abundant number, since it is smaller than the sum of its proper divisors (12226456320).

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

5355214080 is a wasteful number, since it uses less digits than its factorization.

5355214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5355214080 is about 73179.3282286740. The cubic root of 5355214080 is about 1749.5469934928.

The spelling of 5355214080 in words is "five billion, three hundred fifty-five million, two hundred fourteen thousand, eighty".