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505080 = 233252361
BaseRepresentation
bin1111011010011111000
3221122211200
41323103320
5112130310
614454200
74202352
oct1732370
9848750
10505080
11315524
12204360
13148b84
14d20d2
159e9c0
hex7b4f8

505080 has 96 divisors (see below), whose sum is σ = 1740960. Its totient is φ = 126720.

The previous prime is 505073. The next prime is 505091. The reversal of 505080 is 80505.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8250 + ... + 8310.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2505080 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 505080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870480).

505080 is an abundant number, since it is smaller than the sum of its proper divisors (1235880).

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

505080 is a wasteful number, since it uses less digits than its factorization.

505080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 505080 is about 710.6898057521. The cubic root of 505080 is about 79.6379472780.

Adding to 505080 its reverse (80505), we get a palindrome (585585).

The spelling of 505080 in words is "five hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 61 69 72 90 92 115 120 122 138 180 183 184 207 230 244 276 305 345 360 366 414 460 488 549 552 610 690 732 828 915 920 1035 1098 1220 1380 1403 1464 1656 1830 2070 2196 2440 2745 2760 2806 3660 4140 4209 4392 5490 5612 7015 7320 8280 8418 10980 11224 12627 14030 16836 21045 21960 25254 28060 33672 42090 50508 56120 63135 84180 101016 126270 168360 252540 505080