Search a number
-
+
505355340 = 223574129347
BaseRepresentation
bin11110000111110…
…001110001001100
31022012220201012110
4132013301301030
52013332332330
6122051304020
715344310120
oct3607616114
91265821173
10505355340
1123a294a46
121212ab010
138090b839
144b18b580
152e574db0
hex1e1f1c4c

505355340 has 96 divisors (see below), whose sum is σ = 1656635904. Its totient is φ = 112688640.

The previous prime is 505355309. The next prime is 505355341. The reversal of 505355340 is 43553505.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 505355298 and 505355307.

It is not an unprimeable number, because it can be changed into a prime (505355341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2547 + ... + 31893.

It is an arithmetic number, because the mean of its divisors is an integer number (17256624).

Almost surely, 2505355340 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 505355340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828317952).

505355340 is an abundant number, since it is smaller than the sum of its proper divisors (1151280564).

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

505355340 is a wasteful number, since it uses less digits than its factorization.

505355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29407 (or 29405 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 505355340 is about 22480.1098751763. The cubic root of 505355340 is about 796.5241596219.

The spelling of 505355340 in words is "five hundred five million, three hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 29347 58694 88041 117388 146735 176082 205429 293470 352164 410858 440205 586940 616287 821716 880410 1027145 1203227 1232574 1760820 2054290 2406454 2465148 3081435 3609681 4108580 4812908 6016135 6162870 7219362 8422589 12032270 12325740 14438724 16845178 18048405 24064540 25267767 33690356 36096810 42112945 50535534 72193620 84225890 101071068 126338835 168451780 252677670 505355340