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1114120 = 235723173
BaseRepresentation
bin100010000000000001000
32002121021201
410100000020
5241122440
635513544
712320110
oct4200010
92077251
101114120
116a1067
124588b4
13300157
14210040
1517019a
hex110008

1114120 has 64 divisors (see below), whose sum is σ = 3006720. Its totient is φ = 363264.

The previous prime is 1114117. The next prime is 1114159. The reversal of 1114120 is 214111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1114097 and 1114106.

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 15 ways as a sum of consecutive naturals, for example, 6354 + ... + 6526.

It is an arithmetic number, because the mean of its divisors is an integer number (46980).

21114120 is an apocalyptic number.

1114120 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 1114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503360).

1114120 is an abundant number, since it is smaller than the sum of its proper divisors (1892600).

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

1114120 is a wasteful number, since it uses less digits than its factorization.

1114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1114120 is about 1055.5188297705. The cubic root of 1114120 is about 103.6678257723.

Adding to 1114120 its reverse (214111), we get a palindrome (1328231).

Subtracting from 1114120 its reverse (214111), we obtain a palindrome (900009).

The spelling of 1114120 in words is "one million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 173 184 230 280 322 346 460 644 692 805 865 920 1211 1288 1384 1610 1730 2422 3220 3460 3979 4844 6055 6440 6920 7958 9688 12110 15916 19895 24220 27853 31832 39790 48440 55706 79580 111412 139265 159160 222824 278530 557060 1114120