Search a number
-
+
470120508 = 22321113294767
BaseRepresentation
bin11100000001010…
…111100000111100
31012202121121002200
4130001113200330
51430322324013
6114352151500
714435646504
oct3401274074
91182547080
10470120508
11221409550
12111538590
1376522c20
1446618a04
152b414e73
hex1c05783c

470120508 has 288 divisors, whose sum is σ = 1497000960. Its totient is φ = 122411520.

The previous prime is 470120507. The next prime is 470120509. The reversal of 470120508 is 805021074.

It is an interprime number because it is at equal distance from previous prime (470120507) and next prime (470120509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470120503) by changing a digit.

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, 7016691 + ... + 7016757.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2470120508 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 470120508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

470120508 is an abundant number, since it is smaller than the sum of its proper divisors (1026880452).

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

470120508 is a wasteful number, since it uses less digits than its factorization.

470120508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 470120508 is about 21682.2625203183. The cubic root of 470120508 is about 777.5644542190.

The spelling of 470120508 in words is "four hundred seventy million, one hundred twenty thousand, five hundred eight".