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427128 = 23313372
BaseRepresentation
bin1101000010001111000
3210200220120
41220101320
5102132003
613053240
73426162
oct1502170
9720816
10427128
112719a9
12187220
1311c550
14b1932
1586853
hex68478

427128 has 48 divisors (see below), whose sum is σ = 1181880. Its totient is φ = 127872.

The previous prime is 427117. The next prime is 427151. The reversal of 427128 is 821724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 427098 and 427107.

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, 11526 + ... + 11562.

2427128 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 427128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590940).

427128 is an abundant number, since it is smaller than the sum of its proper divisors (754752).

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

427128 is a wasteful number, since it uses less digits than its factorization.

427128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 55 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 427128 is about 653.5503041083. The cubic root of 427128 is about 75.3100057426.

It can be divided in two parts, 427 and 128, that added together give a palindrome (555).

The spelling of 427128 in words is "four hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1369 1443 1924 2738 2886 3848 4107 5476 5772 8214 10952 11544 16428 17797 32856 35594 53391 71188 106782 142376 213564 427128