Search a number
-
+
501342000 = 2435383557
BaseRepresentation
bin11101111000011…
…101111100110000
31021221100210221020
4131320131330300
52011320421000
6121425255440
715265223325
oct3570357460
91257323836
10501342000
11237aa3735
1211ba94580
137cb34b93
144a824b4c
152e030ba0
hex1de1df30

501342000 has 80 divisors (see below), whose sum is σ = 1616345952. Its totient is φ = 133689600.

The previous prime is 501341989. The next prime is 501342001. The reversal of 501342000 is 243105.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (501342001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35779 + ... + 47778.

Almost surely, 2501342000 is an apocalyptic number.

501342000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

501342000 is an abundant number, since it is smaller than the sum of its proper divisors (1115003952).

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

501342000 is a wasteful number, since it uses less digits than its factorization.

501342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83583 (or 83567 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 501342000 is about 22390.6676988427. The cubic root of 501342000 is about 794.4099890331.

Adding to 501342000 its reverse (243105), we get a palindrome (501585105).

The spelling of 501342000 in words is "five hundred one million, three hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 83557 167114 250671 334228 417785 501342 668456 835570 1002684 1253355 1336912 1671140 2005368 2088925 2506710 3342280 4010736 4177850 5013420 6266775 6684560 8355700 10026840 10444625 12533550 16711400 20053680 20889250 25067100 31333875 33422800 41778500 50134200 62667750 83557000 100268400 125335500 167114000 250671000 501342000