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427400 = 23522137
BaseRepresentation
bin1101000010110001000
3210201021122
41220112020
5102134100
613054412
73430031
oct1502610
9721248
10427400
11272126
12187408
1311c6cc
14b1a88
1586985
hex68588

427400 has 24 divisors (see below), whose sum is σ = 994170. Its totient is φ = 170880.

The previous prime is 427381. The next prime is 427403. The reversal of 427400 is 4724.

It can be written as a sum of positive squares in 3 ways, for example, as 198916 + 228484 = 446^2 + 478^2 .

It is not an unprimeable number, because it can be changed into a prime (427403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 869 + ... + 1268.

2427400 is an apocalyptic number.

427400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427400 is an abundant number, since it is smaller than the sum of its proper divisors (566770).

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

427400 is a wasteful number, since it uses less digits than its factorization.

427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 427400 is about 653.7583651472. The cubic root of 427400 is about 75.3259884417.

The spelling of 427400 in words is "four hundred twenty-seven thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2137 4274 8548 10685 17096 21370 42740 53425 85480 106850 213700 427400