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427040 = 25517157
BaseRepresentation
bin1101000010000100000
3210200210022
41220100200
5102131130
613053012
73426005
oct1502040
9720708
10427040
11271929
12187168
1311c4b3
14b18ac
15867e5
hex68420

427040 has 48 divisors (see below), whose sum is σ = 1075032. Its totient is φ = 159744.

The previous prime is 427039. The next prime is 427043. The reversal of 427040 is 40724.

It can be written as a sum of positive squares in 4 ways, for example, as 355216 + 71824 = 596^2 + 268^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427040.

It is not an unprimeable number, because it can be changed into a prime (427043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2642 + ... + 2798.

2427040 is an apocalyptic number.

427040 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 427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537516).

427040 is an abundant number, since it is smaller than the sum of its proper divisors (647992).

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

427040 is a wasteful number, since it uses less digits than its factorization.

427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

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

The square root of 427040 is about 653.4829760598. The cubic root of 427040 is about 75.3048334167.

Adding to 427040 its reverse (40724), we get a palindrome (467764).

The spelling of 427040 in words is "four hundred twenty-seven thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 157 160 170 272 314 340 544 628 680 785 1256 1360 1570 2512 2669 2720 3140 5024 5338 6280 10676 12560 13345 21352 25120 26690 42704 53380 85408 106760 213520 427040