Search a number
-
+
505500 = 22353337
BaseRepresentation
bin1111011011010011100
3221200102020
41323122130
5112134000
614500140
74203522
oct1733234
9850366
10505500
11315876
12204650
13149118
14d2312
159eba0
hex7b69c

505500 has 48 divisors (see below), whose sum is σ = 1476384. Its totient is φ = 134400.

The previous prime is 505493. The next prime is 505501. The reversal of 505500 is 5505.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 505500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (30758).

2505500 is an apocalyptic number.

505500 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 505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738192).

505500 is an abundant number, since it is smaller than the sum of its proper divisors (970884).

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

505500 is a wasteful number, since it uses less digits than its factorization.

505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 15.

The square root of 505500 is about 710.9852319141. The cubic root of 505500 is about 79.6600155120.

Adding to 505500 its sum of digits (15), we get a triangular number (505515 = T1005).

The spelling of 505500 in words is "five hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 337 375 500 674 750 1011 1348 1500 1685 2022 3370 4044 5055 6740 8425 10110 16850 20220 25275 33700 42125 50550 84250 101100 126375 168500 252750 505500