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427014200 = 235219910729
BaseRepresentation
bin11001011100111…
…011100000111000
31002202111120100202
4121130323200320
51333303423300
6110212221332
713403363234
oct3134734070
91082446322
10427014200
111aa0470a8
12bb00a848
136a60c532
14409d75c4
152774cad5
hex1973b838

427014200 has 48 divisors (see below), whose sum is σ = 997890000. Its totient is φ = 169931520.

The previous prime is 427014199. The next prime is 427014229. The reversal of 427014200 is 2410724.

It is a super-2 number, since 2×4270142002 = 364682254003280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34436 + ... + 45164.

It is an arithmetic number, because the mean of its divisors is an integer number (20789375).

Almost surely, 2427014200 is an apocalyptic number.

427014200 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 427014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498945000).

427014200 is an abundant number, since it is smaller than the sum of its proper divisors (570875800).

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

427014200 is a wasteful number, since it uses less digits than its factorization.

427014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 427014200 is about 20664.3219099974. The cubic root of 427014200 is about 753.0331685004.

Adding to 427014200 its reverse (2410724), we get a palindrome (429424924).

The spelling of 427014200 in words is "four hundred twenty-seven million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 3980 4975 7960 9950 10729 19900 21458 39800 42916 53645 85832 107290 214580 268225 429160 536450 1072900 2135071 2145800 4270142 8540284 10675355 17080568 21350710 42701420 53376775 85402840 106753550 213507100 427014200