Search a number
-
+
5347056000 = 2735311131941
BaseRepresentation
bin1001111101011010…
…11001100110000000
3111210122102120220010
410332231121212000
541422321243000
62242325544520
7246335140356
oct47655314600
914718376803
105347056000
1122a4301350
121052875140
13672a23a80
1438a2037d6
1521465cd50
hex13eb59980

5347056000 has 1024 divisors, whose sum is σ = 22455014400. Its totient is φ = 1105920000.

The previous prime is 5347055993. The next prime is 5347056007. The reversal of 5347056000 is 6507435.

It is an interprime number because it is at equal distance from previous prime (5347055993) and next prime (5347056007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347056007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130415980 + ... + 130416020.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 25347056000 is an apocalyptic number.

5347056000 is a gapful number since it is divisible by the number (50) 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 5347056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227507200).

5347056000 is an abundant number, since it is smaller than the sum of its proper divisors (17107958400).

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

5347056000 is a wasteful number, since it uses less digits than its factorization.

5347056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5347056000 is about 73123.5666526189. The cubic root of 5347056000 is about 1748.6581277993.

The spelling of 5347056000 in words is "five billion, three hundred forty-seven million, fifty-six thousand".