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427000 = 2353761
BaseRepresentation
bin1101000001111111000
3210200201211
41220033320
5102131000
613052504
73425620
oct1501770
9720654
10427000
112718a2
12187134
1311c482
14b1880
15867ba
hex683f8

427000 has 64 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 144000.

The previous prime is 426997. The next prime is 427001. The reversal of 427000 is 724.

427000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6970 + ... + 7030.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2427000 is an apocalyptic number.

427000 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 427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

427000 is an abundant number, since it is smaller than the sum of its proper divisors (733640).

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

427000 is a wasteful number, since it uses less digits than its factorization.

427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 427000 is about 653.4523701082. The cubic root of 427000 is about 75.3024821245.

Adding to 427000 its reverse (724), we get a palindrome (427724).

The spelling of 427000 in words is "four hundred twenty-seven thousand", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 125 140 175 200 244 250 280 305 350 427 488 500 610 700 854 875 1000 1220 1400 1525 1708 1750 2135 2440 3050 3416 3500 4270 6100 7000 7625 8540 10675 12200 15250 17080 21350 30500 42700 53375 61000 85400 106750 213500 427000