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20040420 = 22351013307
BaseRepresentation
bin100110001110…
…0101011100100
31101201011021210
41030130223210
520112243140
61553311420
7332224611
oct114345344
941634253
1020040420
1110348734
126865570
1341c894a
142939508
151b5cd80
hex131cae4

20040420 has 48 divisors (see below), whose sum is σ = 56685888. Its totient is φ = 5289600.

The previous prime is 20040409. The next prime is 20040443. The reversal of 20040420 is 2404002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20040396 and 20040405.

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, 4407 + ... + 7713.

It is an arithmetic number, because the mean of its divisors is an integer number (1180956).

Almost surely, 220040420 is an apocalyptic number.

20040420 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 20040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28342944).

20040420 is an abundant number, since it is smaller than the sum of its proper divisors (36645468).

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

20040420 is a wasteful number, since it uses less digits than its factorization.

20040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20040420 is about 4476.6527674145. The cubic root of 20040420 is about 271.6244998768.

Adding to 20040420 its reverse (2404002), we get a palindrome (22444422).

The spelling of 20040420 in words is "twenty million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3307 6060 6614 9921 13228 16535 19842 33070 39684 49605 66140 99210 198420 334007 668014 1002021 1336028 1670035 2004042 3340070 4008084 5010105 6680140 10020210 20040420