Search a number
-
+
504003420 = 2232517164707
BaseRepresentation
bin11110000010100…
…111101101011100
31022010101000201100
4132002213231130
52013011102140
6122002313100
715326646504
oct3602475534
91263330640
10504003420
11239551258
12120958790
138055739b
144ad18a04
152e3a9530
hex1e0a7b5c

504003420 has 72 divisors (see below), whose sum is σ = 1618750224. Its totient is φ = 126494208.

The previous prime is 504003407. The next prime is 504003427. The reversal of 504003420 is 24300405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 504003393 and 504003402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504003427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79294 + ... + 85413.

It is an arithmetic number, because the mean of its divisors is an integer number (22482642).

Almost surely, 2504003420 is an apocalyptic number.

It is an amenable number.

504003420 is an abundant number, since it is smaller than the sum of its proper divisors (1114746804).

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

504003420 is a wasteful number, since it uses less digits than its factorization.

504003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164739 (or 164734 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 504003420 is about 22450.0204899684. The cubic root of 504003420 is about 795.8132416249.

Adding to 504003420 its reverse (24300405), we get a palindrome (528303825).

The spelling of 504003420 in words is "five hundred four million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 164707 329414 494121 658828 823535 988242 1482363 1647070 1976484 2470605 2800019 2964726 3294140 4941210 5600038 5929452 7411815 8400057 9882420 11200076 14000095 14823630 16800114 25200171 28000190 29647260 33600228 42000285 50400342 56000380 84000570 100800684 126000855 168001140 252001710 504003420