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20020420 = 2257231659
BaseRepresentation
bin100110001011…
…1110011000100
31101200010212001
41030113303010
520111123140
61553035044
7332112400
oct114276304
941603761
1020020420
1110334702
126855a84
1341bc804
142932100
151b56e9a
hex1317cc4

20020420 has 72 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 6632640.

The previous prime is 20020387. The next prime is 20020421. The reversal of 20020420 is 2402002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20020397 and 20020406.

It is not an unprimeable number, because it can be changed into a prime (20020421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30051 + ... + 30709.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 220020420 is an apocalyptic number.

20020420 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 20020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

20020420 is an abundant number, since it is smaller than the sum of its proper divisors (30540860).

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

20020420 is a wasteful number, since it uses less digits than its factorization.

20020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 20020420 is about 4474.4183979597. The cubic root of 20020420 is about 271.5341109166.

Adding to 20020420 its reverse (2402002), we get a palindrome (22422422).

The spelling of 20020420 in words is "twenty million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 659 868 980 1085 1318 1519 2170 2636 3038 3295 4340 4613 6076 6590 7595 9226 13180 15190 18452 20429 23065 30380 32291 40858 46130 64582 81716 92260 102145 129164 143003 161455 204290 286006 322910 408580 572012 645820 715015 1001021 1430030 2002042 2860060 4004084 5005105 10010210 20020420