Search a number
-
+
2135320020 = 22325173472011
BaseRepresentation
bin111111101000110…
…0110010111010100
312111210222111101200
41333101212113110
513333120220040
6551515152500
7103625630541
oct17721462724
95453874350
102135320020
119a6372599
124b7145730
13280506492
14163841bc8
15c76e2630
hex7f4665d4

2135320020 has 144 divisors (see below), whose sum is σ = 6881329728. Its totient is φ = 534113280.

The previous prime is 2135320013. The next prime is 2135320051. The reversal of 2135320020 is 200235312.

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 = 2135319975 and 2135320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060815 + ... + 1062825.

It is an arithmetic number, because the mean of its divisors is an integer number (47787012).

Almost surely, 22135320020 is an apocalyptic number.

2135320020 is a gapful number since it is divisible by the number (20) 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 2135320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440664864).

2135320020 is an abundant number, since it is smaller than the sum of its proper divisors (4746009708).

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

2135320020 is a wasteful number, since it uses less digits than its factorization.

2135320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2135320020 is about 46209.5230444981. The cubic root of 2135320020 is about 1287.7186648432.

Adding to 2135320020 its reverse (200235312), we get a palindrome (2335555332).

The spelling of 2135320020 in words is "two billion, one hundred thirty-five million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 347 510 612 694 765 1020 1041 1388 1530 1735 2011 2082 3060 3123 3470 4022 4164 5205 5899 6033 6246 6940 8044 10055 10410 11798 12066 12492 15615 17697 18099 20110 20820 23596 24132 29495 30165 31230 34187 35394 36198 40220 53091 58990 60330 62460 68374 70788 72396 88485 90495 102561 106182 117980 120660 136748 170935 176970 180990 205122 212364 265455 307683 341870 353940 361980 410244 512805 530910 615366 683740 697817 1025610 1061820 1230732 1395634 1538415 2051220 2093451 2791268 3076830 3489085 4186902 6153660 6280353 6978170 8373804 10467255 11862889 12560706 13956340 20934510 23725778 25121412 31401765 35588667 41869020 47451556 59314445 62803530 71177334 106766001 118628890 125607060 142354668 177943335 213532002 237257780 355886670 427064004 533830005 711773340 1067660010 2135320020