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2002420 = 225714303
BaseRepresentation
bin111101000110111110100
310202201210201
413220313310
51003034140
6110530244
723006650
oct7506764
93681721
102002420
1111484a2
12806984
13551584
143a1a60
1529849a
hex1e8df4

2002420 has 24 divisors (see below), whose sum is σ = 4806144. Its totient is φ = 686496.

The previous prime is 2002417. The next prime is 2002453. The reversal of 2002420 is 242002.

2002420 = T175 + T176 + ... + T258.

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 = 2002397 and 2002406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7012 + ... + 7291.

It is an arithmetic number, because the mean of its divisors is an integer number (200256).

22002420 is an apocalyptic number.

2002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002420 is an abundant number, since it is smaller than the sum of its proper divisors (2803724).

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

2002420 is a wasteful number, since it uses less digits than its factorization.

2002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14319 (or 14317 counting only the distinct ones).

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

The square root of 2002420 is about 1415.0689029160. The cubic root of 2002420 is about 126.0429013228.

Adding to 2002420 its reverse (242002), we get a palindrome (2244422).

The spelling of 2002420 in words is "two million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 14303 28606 57212 71515 100121 143030 200242 286060 400484 500605 1001210 2002420