Search a number
-
+
5384445360 = 24357217231171
BaseRepresentation
bin1010000001111000…
…00001110110110000
3111220020210011110020
411000330001312300
542011404222420
62250143203440
7250301013300
oct50074016660
914806704406
105384445360
112313419548
1210632a6580
1367a6b5258
14391177600
15217a96340
hex140f01db0

5384445360 has 480 divisors, whose sum is σ = 21471340032. Its totient is φ = 1107025920.

The previous prime is 5384445347. The next prime is 5384445373. The reversal of 5384445360 is 635444835.

It is an interprime number because it is at equal distance from previous prime (5384445347) and next prime (5384445373).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 4597575 + ... + 4598745.

Almost surely, 25384445360 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 5384445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735670016).

5384445360 is an abundant number, since it is smaller than the sum of its proper divisors (16086894672).

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

5384445360 is a wasteful number, since it uses less digits than its factorization.

5384445360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 5384445360 is about 73378.7800389186. The cubic root of 5384445360 is about 1752.7245027994.

The spelling of 5384445360 in words is "five billion, three hundred eighty-four million, four hundred forty-five thousand, three hundred sixty".