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4128 = 25343
BaseRepresentation
bin1000000100000
312122220
41000200
5113003
631040
715015
oct10040
95586
104128
113113
122480
131b57
14170c
151353
hex1020

4128 has 24 divisors (see below), whose sum is σ = 11088. Its totient is φ = 1344.

The previous prime is 4127. The next prime is 4129. The reversal of 4128 is 8214.

It can be divided in two parts, 4 and 128, that multiplied together give a 9-th power (512 = 29).

4128 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (4127) and next prime (4129).

It is a tau number, because it is divible by the number of its divisors (24).

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 (4127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (462).

24128 is an apocalyptic number.

4128 is a gapful number since it is divisible by the number (48) 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 4128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544).

4128 is an abundant number, since it is smaller than the sum of its proper divisors (6960).

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

4128 is a wasteful number, since it uses less digits than its factorization.

4128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 4128 is about 64.2495136168. The cubic root of 4128 is about 16.0415586282.

The spelling of 4128 in words is "four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128