Search a number
-
+
20523420 = 223251719353
BaseRepresentation
bin100111001001…
…0100110011100
31102121200211200
41032102212130
520223222140
62011515500
7336306021
oct116224634
942550750
1020523420
1110648605
126a58b90
134337748
142a23548
151c06030
hex139299c

20523420 has 144 divisors (see below), whose sum is σ = 69582240. Its totient is φ = 4866048.

The previous prime is 20523407. The next prime is 20523421. The reversal of 20523420 is 2432502.

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 = 20523393 and 20523402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57964 + ... + 58316.

It is an arithmetic number, because the mean of its divisors is an integer number (483210).

Almost surely, 220523420 is an apocalyptic number.

20523420 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 20523420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34791120).

20523420 is an abundant number, since it is smaller than the sum of its proper divisors (49058820).

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

20523420 is a wasteful number, since it uses less digits than its factorization.

20523420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20523420 is about 4530.2781371567. The cubic root of 20523420 is about 273.7893669538.

Adding to 20523420 its reverse (2432502), we get a palindrome (22955922).

The spelling of 20523420 in words is "twenty million, five hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 353 380 510 570 612 646 684 706 765 855 969 1020 1059 1140 1292 1412 1530 1615 1710 1765 1938 2118 2907 3060 3177 3230 3420 3530 3876 4236 4845 5295 5814 6001 6354 6460 6707 7060 9690 10590 11628 12002 12708 13414 14535 15885 18003 19380 20121 21180 24004 26828 29070 30005 31770 33535 36006 40242 54009 58140 60010 60363 63540 67070 72012 80484 90015 100605 108018 114019 120020 120726 134140 180030 201210 216036 228038 241452 270045 301815 342057 360060 402420 456076 540090 570095 603630 684114 1026171 1080180 1140190 1207260 1368228 1710285 2052342 2280380 3420570 4104684 5130855 6841140 10261710 20523420