Search a number
-
+
20330020320 = 253555817589
BaseRepresentation
bin10010111011110000…
…110111110111100000
31221110211112001000120
4102323300313313200
5313113441122240
613201154520240
71316540215161
oct227360676740
957424461016
1020330020320
118692848195
123b34596080
131bbcb86a2c
14dac071768
157dec09ad0
hex4bbc37de0

20330020320 has 96 divisors (see below), whose sum is σ = 64059478560. Its totient is φ = 5419653120.

The previous prime is 20330020309. The next prime is 20330020343. The reversal of 20330020320 is 2302003302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×203300203202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20330020320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2675086 + ... + 2682674.

It is an arithmetic number, because the mean of its divisors is an integer number (667286235).

Almost surely, 220330020320 is an apocalyptic number.

20330020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330020320 is an abundant number, since it is smaller than the sum of its proper divisors (43729458240).

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

20330020320 is a wasteful number, since it uses less digits than its factorization.

20330020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 20330020320 its reverse (2302003302), we get a palindrome (22632023622).

The spelling of 20330020320 in words is "twenty billion, three hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5581 7589 11162 15178 16743 22324 22767 27905 30356 33486 37945 44648 45534 55810 60712 66972 75890 83715 89296 91068 111620 113835 121424 133944 151780 167430 178592 182136 223240 227670 242848 267888 303560 334860 364272 446480 455340 535776 607120 669720 728544 892960 910680 1214240 1339440 1821360 2678880 3642720 42354209 84708418 127062627 169416836 211771045 254125254 338833672 423542090 508250508 635313135 677667344 847084180 1016501016 1270626270 1355334688 1694168360 2033002032 2541252540 3388336720 4066004064 5082505080 6776673440 10165010160 20330020320