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1130310 = 232519661
BaseRepresentation
bin100010011111101000110
32010102111100
410103331012
5242132220
640120530
712415236
oct4237506
92112440
101130310
11702245
12466146
1330762c
14215cc6
15174d90
hex113f46

1130310 has 48 divisors (see below), whose sum is σ = 3098160. Its totient is φ = 285120.

The previous prime is 1130299. The next prime is 1130317. The reversal of 1130310 is 130311.

It is a super-2 number, since 2×11303102 = 2555201392200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130292 and 1130301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1380 + ... + 2040.

It is an arithmetic number, because the mean of its divisors is an integer number (64545).

21130310 is an apocalyptic number.

1130310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549080).

1130310 is an abundant number, since it is smaller than the sum of its proper divisors (1967850).

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

1130310 is a wasteful number, since it uses less digits than its factorization.

1130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 690 counting only the distinct ones).

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

The square root of 1130310 is about 1063.1603830091. The cubic root of 1130310 is about 104.1675676367.

Adding to 1130310 its reverse (130311), we get a palindrome (1260621).

Subtracting from 1130310 its reverse (130311), we obtain a palindrome (999999).

The spelling of 1130310 in words is "one million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 661 855 1322 1710 1983 3305 3966 5949 6610 9915 11898 12559 19830 25118 29745 37677 59490 62795 75354 113031 125590 188385 226062 376770 565155 1130310