Search a number
-
+
427032 = 2334659
BaseRepresentation
bin1101000010000011000
3210200210000
41220100120
5102131112
613053000
73425664
oct1502030
9720700
10427032
11271921
12187160
1311c4a8
14b18a4
15867dc
hex68418

427032 has 40 divisors (see below), whose sum is σ = 1197900. Its totient is φ = 142128.

The previous prime is 427013. The next prime is 427039. The reversal of 427032 is 230724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 426996 and 427014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427032.

It is not an unprimeable number, because it can be changed into a prime (427039) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319 + ... + 977.

2427032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598950).

427032 is an abundant number, since it is smaller than the sum of its proper divisors (770868).

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

427032 is a wasteful number, since it uses less digits than its factorization.

427032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 427032 is about 653.4768549842. The cubic root of 427032 is about 75.3043631700.

Adding to 427032 its reverse (230724), we get a palindrome (657756).

The spelling of 427032 in words is "four hundred twenty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 659 1318 1977 2636 3954 5272 5931 7908 11862 15816 17793 23724 35586 47448 53379 71172 106758 142344 213516 427032