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505000 = 2354101
BaseRepresentation
bin1111011010010101000
3221122201201
41323102220
5112130000
614453544
74202206
oct1732250
9848651
10505000
11315461
122042b4
13148b22
14d2076
159e96a
hex7b4a8

505000 has 40 divisors (see below), whose sum is σ = 1194930. Its totient is φ = 200000.

The previous prime is 504991. The next prime is 505027. The reversal of 505000 is 505.

It can be written as a sum of positive squares in 5 ways, for example, as 77284 + 427716 = 278^2 + 654^2 .

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 (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4950 + ... + 5050.

2505000 is an apocalyptic number.

505000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597465).

505000 is an abundant number, since it is smaller than the sum of its proper divisors (689930).

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

505000 is a wasteful number, since it uses less digits than its factorization.

505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 505000 is about 710.6335201776. The cubic root of 505000 is about 79.6337424179.

Adding to 505000 its reverse (505), we get a palindrome (505505).

505000 divided by its reverse (505) gives a cube (1000 = 103).

It can be divided in two parts, 50 and 5000, that multiplied together give a square (250000 = 5002).

The spelling of 505000 in words is "five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 4040 5000 5050 10100 12625 20200 25250 50500 63125 101000 126250 252500 505000