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1114180 = 2251729113
BaseRepresentation
bin100010000000001000100
32002121100221
410100001010
5241123210
635514124
712320224
oct4200104
92077327
101114180
116a1111
12458944
133001a2
14210084
151701da
hex110044

1114180 has 48 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 401408.

The previous prime is 1114159. The next prime is 1114193. The reversal of 1114180 is 814111.

It can be written as a sum of positive squares in 8 ways, for example, as 61504 + 1052676 = 248^2 + 1026^2 .

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9804 + ... + 9916.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

21114180 is an apocalyptic number.

1114180 is a gapful number since it is divisible by the number (10) 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 1114180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292760).

1114180 is an abundant number, since it is smaller than the sum of its proper divisors (1471340).

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

1114180 is a wasteful number, since it uses less digits than its factorization.

1114180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 1114180 is about 1055.5472514293. The cubic root of 1114180 is about 103.6696867202.

Adding to 1114180 its reverse (814111), we get a palindrome (1928291).

The spelling of 1114180 in words is "one million, one hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 113 116 145 170 226 290 340 452 493 565 580 986 1130 1921 1972 2260 2465 3277 3842 4930 6554 7684 9605 9860 13108 16385 19210 32770 38420 55709 65540 111418 222836 278545 557090 1114180