Search a number
-
+
5427007560 = 23335133137337
BaseRepresentation
bin1010000110111100…
…11001000001001000
3112000012212112211000
411003132121001020
542103303220220
62254303335000
7251325542322
oct50336310110
915005775730
105427007560
11233544a117
1210755b1460
136864680a0
14396a96612
1521b6a2390
hex143799048

5427007560 has 512 divisors, whose sum is σ = 20714803200. Its totient is φ = 1254113280.

The previous prime is 5427007559. The next prime is 5427007583. The reversal of 5427007560 is 657007245.

It is a super-2 number, since 2×54270075602 = 58904822112594307200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16103712 + ... + 16104048.

It is an arithmetic number, because the mean of its divisors is an integer number (40458600).

Almost surely, 25427007560 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 5427007560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10357401600).

5427007560 is an abundant number, since it is smaller than the sum of its proper divisors (15287795640).

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

5427007560 is a wasteful number, since it uses less digits than its factorization.

5427007560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5427007560 is about 73668.2262580008. The cubic root of 5427007560 is about 1757.3306168020.

The spelling of 5427007560 in words is "five billion, four hundred twenty-seven million, seven thousand, five hundred sixty".