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1114128 = 24332579
BaseRepresentation
bin100010000000000010000
32002121022000
410100000100
5241123003
635514000
712320121
oct4200020
92077260
101114128
116a1074
12458900
13300162
14210048
151701a3
hex110010

1114128 has 40 divisors (see below), whose sum is σ = 3199200. Its totient is φ = 371232.

The previous prime is 1114117. The next prime is 1114159. The reversal of 1114128 is 8214111.

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

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1114128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (79980).

21114128 is an apocalyptic number.

1114128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1114128 is an abundant number, since it is smaller than the sum of its proper divisors (2085072).

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

1114128 is a wasteful number, since it uses less digits than its factorization.

1114128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2584 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1114128 is about 1055.5226193692. The cubic root of 1114128 is about 103.6680739026.

Adding to 1114128 its reverse (8214111), we get a palindrome (9328239).

The spelling of 1114128 in words is "one million, one hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2579 5158 7737 10316 15474 20632 23211 30948 41264 46422 61896 69633 92844 123792 139266 185688 278532 371376 557064 1114128