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20002420 = 2251000121
BaseRepresentation
bin100110001001…
…1011001110100
31101122020011101
41030103121310
520110034140
61552415444
7332006044
oct114233164
941566141
1020002420
1110322129
126847584
1341b4569
142929724
151b5199a
hex1313674

20002420 has 12 divisors (see below), whose sum is σ = 42005124. Its totient is φ = 8000960.

The previous prime is 20002417. The next prime is 20002429. The reversal of 20002420 is 2420002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15824484 + 4177936 = 3978^2 + 2044^2 .

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 = 20002397 and 20002406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500041 + ... + 500080.

It is an arithmetic number, because the mean of its divisors is an integer number (3500427).

Almost surely, 220002420 is an apocalyptic number.

20002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002420 is an abundant number, since it is smaller than the sum of its proper divisors (22002704).

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

20002420 is a wasteful number, since it uses less digits than its factorization.

20002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000130 (or 1000128 counting only the distinct ones).

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

The square root of 20002420 is about 4472.4065110408. The cubic root of 20002420 is about 271.4527093690.

Adding to 20002420 its reverse (2420002), we get a palindrome (22422422).

It can be divided in two parts, 2000 and 2420, that multiplied together give a square (4840000 = 22002).

The spelling of 20002420 in words is "twenty million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1000121 2000242 4000484 5000605 10001210 20002420