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503917340 = 225296114243
BaseRepresentation
bin11110000010010…
…010101100011100
31022010012122122012
4132002102230130
52013000323330
6122000410352
715326140523
oct3602225434
91263178565
10503917340
112394a2613
121209169b8
1380527154
144acd54ba
152e38dc95
hex1e092b1c

503917340 has 48 divisors (see below), whose sum is σ = 1112741280. Its totient is φ = 191412480.

The previous prime is 503917339. The next prime is 503917357. The reversal of 503917340 is 43719305.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 503917297 and 503917306.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28259 + ... + 42501.

It is an arithmetic number, because the mean of its divisors is an integer number (23182110).

Almost surely, 2503917340 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 503917340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556370640).

503917340 is an abundant number, since it is smaller than the sum of its proper divisors (608823940).

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

503917340 is a wasteful number, since it uses less digits than its factorization.

503917340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14342 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 503917340 is about 22448.1032606321. The cubic root of 503917340 is about 795.7679327365.

The spelling of 503917340 in words is "five hundred three million, nine hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 7076 8845 14243 17690 28486 35380 56972 71215 142430 284860 413047 826094 868823 1652188 1737646 2065235 3475292 4130470 4344115 8260940 8688230 17376460 25195867 50391734 100783468 125979335 251958670 503917340