Search a number
-
+
20440420 = 225711131021
BaseRepresentation
bin100110111111…
…0010101100100
31102110110222121
41031332111210
520213043140
62010035324
7335512030
oct115762544
942413877
1020440420
11105a1210
126a18b44
134308a30
142a011c0
151bdb64a
hex137e564

20440420 has 96 divisors (see below), whose sum is σ = 57689856. Its totient is φ = 5875200.

The previous prime is 20440397. The next prime is 20440421. The reversal of 20440420 is 2404402.

It is a junction number, because it is equal to n+sod(n) for n = 20440394 and 20440403.

It is not an unprimeable number, because it can be changed into a prime (20440421) 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, 19510 + ... + 20530.

It is an arithmetic number, because the mean of its divisors is an integer number (600936).

Almost surely, 220440420 is an apocalyptic number.

20440420 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 20440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844928).

20440420 is an abundant number, since it is smaller than the sum of its proper divisors (37249436).

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

20440420 is a wasteful number, since it uses less digits than its factorization.

20440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 20440420 is about 4521.1082712096. The cubic root of 20440420 is about 273.4197855953.

Adding to 20440420 its reverse (2404402), we get a palindrome (22844822).

The spelling of 20440420 in words is "twenty million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1021 1430 1540 1820 2002 2042 2860 4004 4084 5005 5105 7147 10010 10210 11231 13273 14294 20020 20420 22462 26546 28588 35735 44924 53092 56155 66365 71470 78617 92911 112310 132730 142940 146003 157234 185822 224620 265460 292006 314468 371644 393085 464555 584012 730015 786170 929110 1022021 1460030 1572340 1858220 2044042 2920060 4088084 5110105 10220210 20440420