Search a number
-
+
20213420320 = 255793075209
BaseRepresentation
bin10010110100110100…
…000101000100100000
31221011201010010220001
4102310310011010200
5312344113422240
613141431425344
71313623144402
oct226464050440
957151103801
1020213420320
118632a48955
123b01525254
131ba1980552
14d9a79cb72
157d487689a
hex4b4d05120

20213420320 has 96 divisors (see below), whose sum is σ = 48525523200. Its totient is φ = 7955490816.

The previous prime is 20213420299. The next prime is 20213420323. The reversal of 20213420320 is 2302431202.

It is a super-2 number, since 2×202134203202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20213420323) 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, 3877876 + ... + 3883084.

It is an arithmetic number, because the mean of its divisors is an integer number (505474200).

Almost surely, 220213420320 is an apocalyptic number.

20213420320 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 20213420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262761600).

20213420320 is an abundant number, since it is smaller than the sum of its proper divisors (28312102880).

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

20213420320 is a wasteful number, since it uses less digits than its factorization.

20213420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20213420320 its reverse (2302431202), we get a palindrome (22515851522).

The spelling of 20213420320 in words is "twenty billion, two hundred thirteen million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 307 316 395 614 632 790 1228 1264 1535 1580 2456 2528 3070 3160 4912 5209 6140 6320 9824 10418 12280 12640 20836 24253 24560 26045 41672 48506 49120 52090 83344 97012 104180 121265 166688 194024 208360 242530 388048 411511 416720 485060 776096 823022 833440 970120 1599163 1646044 1940240 2057555 3198326 3292088 3880480 4115110 6396652 6584176 7995815 8230220 12793304 13168352 15991630 16460440 25586608 31983260 32920880 51173216 63966520 65841760 126333877 127933040 252667754 255866080 505335508 631669385 1010671016 1263338770 2021342032 2526677540 4042684064 5053355080 10106710160 20213420320