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1114164 = 223230949
BaseRepresentation
bin100010000000000110100
32002121100100
410100000310
5241123124
635514100
712320202
oct4200064
92077310
101114164
116a10a7
12458930
1330018c
14210072
151701c9
hex110034

1114164 has 18 divisors (see below), whose sum is σ = 2816450. Its totient is φ = 371376.

The previous prime is 1114159. The next prime is 1114193. The reversal of 1114164 is 4614111.

It can be written as a sum of positive squares in only one way, i.e., 1102500 + 11664 = 1050^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×11141642 = 2482722837792, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15439 + ... + 15510.

21114164 is an apocalyptic number.

It is an amenable number.

1114164 is an abundant number, since it is smaller than the sum of its proper divisors (1702286).

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

1114164 is a wasteful number, since it uses less digits than its factorization.

1114164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30959 (or 30954 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1114164 is about 1055.5396723951. The cubic root of 1114164 is about 103.6691904740.

Adding to 1114164 its reverse (4614111), we get a palindrome (5728275).

The spelling of 1114164 in words is "one million, one hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 30949 61898 92847 123796 185694 278541 371388 557082 1114164