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420140000 = 255473001
BaseRepresentation
bin11001000010101…
…101001111100000
31002021120022201202
4121002231033200
51330023440000
6105405020332
713261062650
oct3102551740
91067508652
10420140000
111a6181445
12b88546a8
1369073667
143db28360
1526d40dd5
hex190ad3e0

420140000 has 120 divisors (see below), whose sum is σ = 1181659248. Its totient is φ = 144000000.

The previous prime is 420139991. The next prime is 420140009. The reversal of 420140000 is 41024.

It is an interprime number because it is at equal distance from previous prime (420139991) and next prime (420140009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420140009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 138500 + ... + 141500.

Almost surely, 2420140000 is an apocalyptic number.

420140000 is a gapful number since it is divisible by the number (40) 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 420140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590829624).

420140000 is an abundant number, since it is smaller than the sum of its proper divisors (761519248).

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

420140000 is an equidigital number, since it uses as much as digits as its factorization.

420140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 420140000 is about 20497.3168975844. The cubic root of 420140000 is about 748.9704391712.

Adding to 420140000 its reverse (41024), we get a palindrome (420181024).

The spelling of 420140000 in words is "four hundred twenty million, one hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3001 3500 4000 4375 5000 5600 6002 7000 8750 10000 12004 14000 15005 17500 20000 21007 24008 28000 30010 35000 42014 48016 60020 70000 75025 84028 96032 105035 120040 140000 150050 168056 210070 240080 300100 336112 375125 420140 480160 525175 600200 672224 750250 840280 1050350 1200400 1500500 1680560 1875625 2100700 2400800 2625875 3001000 3361120 3751250 4201400 5251750 6002000 7502500 8402800 10503500 12004000 13129375 15005000 16805600 21007000 26258750 30010000 42014000 52517500 60020000 84028000 105035000 210070000 420140000