Search a number
-
+
504000240 = 24352100001
BaseRepresentation
bin11110000010100…
…110111011110000
31022010100212100120
4132002212323300
52013011001430
6122002250240
715326634312
oct3602467360
91263325316
10504000240
11239549927
12120956980
1380555ac3
144ad177b2
152e3a8610
hex1e0a6ef0

504000240 has 40 divisors (see below), whose sum is σ = 1562401488. Its totient is φ = 134400000.

The previous prime is 504000221. The next prime is 504000247. The reversal of 504000240 is 42000405.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504000247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1049761 + ... + 1050240.

Almost surely, 2504000240 is an apocalyptic number.

It is an amenable number.

504000240 is an abundant number, since it is smaller than the sum of its proper divisors (1058401248).

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

504000240 is a wasteful number, since it uses less digits than its factorization.

504000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100017 (or 2100011 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 504000240 is about 22449.9496658679. The cubic root of 504000240 is about 795.8115678985.

Adding to 504000240 its reverse (42000405), we get a palindrome (546000645).

The spelling of 504000240 in words is "five hundred four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2100001 4200002 6300003 8400004 10500005 12600006 16800008 21000010 25200012 31500015 33600016 42000020 50400024 63000030 84000040 100800048 126000060 168000080 252000120 504000240