Search a number
-
+
605220120 = 233351493761
BaseRepresentation
bin100100000100101…
…110110100011000
31120011211100221000
4210010232310120
52214414020440
6140015545000
720666200101
oct4404566430
91504740830
10605220120
112906a391a
1214a82b160
139850591b
145a5453a8
15381ee730
hex2412ed18

605220120 has 128 divisors (see below), whose sum is σ = 2031480000. Its totient is φ = 160266240.

The previous prime is 605220097. The next prime is 605220127. The reversal of 605220120 is 21022506.

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 = 605220093 and 605220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605220127) 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, 159040 + ... + 162800.

Almost surely, 2605220120 is an apocalyptic number.

605220120 is a gapful number since it is divisible by the number (60) 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 605220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015740000).

605220120 is an abundant number, since it is smaller than the sum of its proper divisors (1426259880).

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

605220120 is a wasteful number, since it uses less digits than its factorization.

605220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 605220120 is about 24601.2219208721. The cubic root of 605220120 is about 845.8716167540.

Adding to 605220120 its reverse (21022506), we get a palindrome (626242626).

The spelling of 605220120 in words is "six hundred five million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 745 894 1080 1192 1341 1490 1788 2235 2682 2980 3576 3761 4023 4470 5364 5960 6705 7522 8046 8940 10728 11283 13410 15044 16092 17880 18805 20115 22566 26820 30088 32184 33849 37610 40230 45132 53640 56415 67698 75220 80460 90264 101547 112830 135396 150440 160920 169245 203094 225660 270792 338490 406188 451320 507735 560389 676980 812376 1015470 1120778 1353960 1681167 2030940 2241556 2801945 3362334 4061880 4483112 5043501 5603890 6724668 8405835 10087002 11207780 13449336 15130503 16811670 20174004 22415560 25217505 30261006 33623340 40348008 50435010 60522012 67246680 75652515 100870020 121044024 151305030 201740040 302610060 605220120