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503260020 = 223354779251
BaseRepresentation
bin11101111111110…
…010001101110100
31022001222020222000
4131333302031310
52012313310040
6121534335300
715320432244
oct3577621564
91261866860
10503260020
1123909377a
1212065a530
1380356bc3
144aba3b24
152e2ae130
hex1dff2374

503260020 has 192 divisors, whose sum is σ = 1625702400. Its totient is φ = 129168000.

The previous prime is 503260019. The next prime is 503260063. The reversal of 503260020 is 20062305.

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 = 503259975 and 503260002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2004895 + ... + 2005145.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2503260020 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 503260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

503260020 is an abundant number, since it is smaller than the sum of its proper divisors (1122442380).

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

503260020 is a wasteful number, since it uses less digits than its factorization.

503260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 503260020 is about 22433.4576024295. The cubic root of 503260020 is about 795.4217769042.

The spelling of 503260020 in words is "five hundred three million, two hundred sixty thousand, twenty".