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420420320 = 2552627627
BaseRepresentation
bin11001000011110…
…001101011100000
31002022002120020222
4121003301223200
51330111422240
6105415022212
713263341135
oct3103615340
91068076228
10420420320
111a6353011
12b896a968
1369141128
143db9c58c
1526d98eb5
hex190f1ae0

420420320 has 24 divisors (see below), whose sum is σ = 993243384. Its totient is φ = 168168064.

The previous prime is 420420317. The next prime is 420420361. The reversal of 420420320 is 23024024.

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 3 ways as a sum of consecutive naturals, for example, 1313654 + ... + 1313973.

It is an arithmetic number, because the mean of its divisors is an integer number (41385141).

Almost surely, 2420420320 is an apocalyptic number.

420420320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420420320 is an abundant number, since it is smaller than the sum of its proper divisors (572823064).

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

420420320 is a wasteful number, since it uses less digits than its factorization.

420420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627642 (or 2627634 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 420420320 is about 20504.1537255260. The cubic root of 420420320 is about 749.1369747048.

Adding to 420420320 its reverse (23024024), we get a palindrome (443444344).

The spelling of 420420320 in words is "four hundred twenty million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2627627 5255254 10510508 13138135 21021016 26276270 42042032 52552540 84084064 105105080 210210160 420420320