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428136 = 23317839
BaseRepresentation
bin1101000100001101000
3210202021220
41220201220
5102200021
613102040
73432132
oct1504150
9722256
10428136
11272735
12187920
1311cb47
14b2052
1586cc6
hex68868

428136 has 16 divisors (see below), whose sum is σ = 1070400. Its totient is φ = 142704.

The previous prime is 428093. The next prime is 428137. The reversal of 428136 is 631824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 17839 = 428136 / (4 + 2 + 8 + 1 + 3 + 6).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (428137) by changing a digit.

428136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 8896 + ... + 8943.

It is an arithmetic number, because the mean of its divisors is an integer number (66900).

2428136 is an apocalyptic number.

It is an amenable number.

428136 is an abundant number, since it is smaller than the sum of its proper divisors (642264).

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

428136 is a wasteful number, since it uses less digits than its factorization.

428136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17848 (or 17844 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 428136 is about 654.3210221290. The cubic root of 428136 is about 75.3692017739.

The spelling of 428136 in words is "four hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 17839 35678 53517 71356 107034 142712 214068 428136