Search a number
-
+
5355810720 = 253451383383
BaseRepresentation
bin1001111110011101…
…10010111110100000
3111211020220101010000
410333032302332200
541432041420340
62243241340000
7246502432341
oct47716627640
914736811100
105355810720
1122a9240957
121055797600
1367479a890
1438b4420c8
152152dbd30
hex13f3b2fa0

5355810720 has 480 divisors, whose sum is σ = 20654548992. Its totient is φ = 1299068928.

The previous prime is 5355810709. The next prime is 5355810731. The reversal of 5355810720 is 270185535.

5355810720 is a `hidden beast` number, since 5 + 3 + 5 + 581 + 0 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5355810709) and next prime (5355810731).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13983649 + ... + 13984031.

Almost surely, 25355810720 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 5355810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10327274496).

5355810720 is an abundant number, since it is smaller than the sum of its proper divisors (15298738272).

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

5355810720 is a wasteful number, since it uses less digits than its factorization.

5355810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5355810720 is about 73183.4046761969. The cubic root of 5355810720 is about 1749.6119651222.

The spelling of 5355810720 in words is "five billion, three hundred fifty-five million, eight hundred ten thousand, seven hundred twenty".