Search a number
1113300 = 2232521237
BaseRepresentation
bin100001111110011010100
32002120011100
410033303110
5241111200
635510100
712314526
oct4176324
92076140
101113300
116a0491
12458330
132cc976
1420da16
1516ed00
hex10fcd4

1113300 has 54 divisors (see below), whose sum is σ = 3492398. Its totient is φ = 296640.

The previous prime is 1113257. The next prime is 1113317. The reversal of 1113300 is 33111.

Adding to 1113300 its reverse (33111), we get a palindrome (1146411).

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 956484 = 396^2 + 978^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 282 + ... + 1518.

21113300 is an apocalyptic number.

1113300 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 1113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746199).

1113300 is an abundant number, since it is smaller than the sum of its proper divisors (2379098).

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

1113300 is a wasteful number, since it uses less digits than its factorization.

1113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1113300 is about 1055.1303237041. The cubic root of 1113300 is about 103.6423861186.

The spelling of 1113300 in words is "one million, one hundred thirteen thousand, three hundred".