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4200020 = 22511171123
BaseRepresentation
bin10000000001011001010100
321220101100022
4100001121110
52033400040
6230004312
750461646
oct20013124
97811308
104200020
1124095a0
1214a6698
13b40926
147b4896
1557e6b5
hex401654

4200020 has 48 divisors (see below), whose sum is σ = 10196928. Its totient is φ = 1436160.

The previous prime is 4200019. The next prime is 4200023. The reversal of 4200020 is 200024.

It is a junction number, because it is equal to n+sod(n) for n = 4199980 and 4200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3179 + ... + 4301.

It is an arithmetic number, because the mean of its divisors is an integer number (212436).

Almost surely, 24200020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098464).

4200020 is an abundant number, since it is smaller than the sum of its proper divisors (5996908).

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

4200020 is a wasteful number, since it uses less digits than its factorization.

4200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4200020 is about 2049.3950326865. The cubic root of 4200020 is about 161.3431207018.

Adding to 4200020 its reverse (200024), we get a palindrome (4400044).

The spelling of 4200020 in words is "four million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1123 1870 2246 3740 4492 5615 11230 12353 19091 22460 24706 38182 49412 61765 76364 95455 123530 190910 210001 247060 381820 420002 840004 1050005 2100010 4200020