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1130780 = 225741197
BaseRepresentation
bin100010100000100011100
32010110010202
410110010130
5242141110
640123032
712416510
oct4240434
92113122
101130780
11702632
12466478
13307901
14216140
151750a5
hex11411c

1130780 has 48 divisors (see below), whose sum is σ = 2794176. Its totient is φ = 376320.

The previous prime is 1130777. The next prime is 1130783. The reversal of 1130780 is 870311.

It is an interprime number because it is at equal distance from previous prime (1130777) and next prime (1130783).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5642 + ... + 5838.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

21130780 is an apocalyptic number.

1130780 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 1130780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088).

1130780 is an abundant number, since it is smaller than the sum of its proper divisors (1663396).

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

1130780 is a wasteful number, since it uses less digits than its factorization.

1130780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1130780 is about 1063.3813991226. The cubic root of 1130780 is about 104.1820037862.

The spelling of 1130780 in words is "one million, one hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 197 205 287 394 410 574 788 820 985 1148 1379 1435 1970 2758 2870 3940 5516 5740 6895 8077 13790 16154 27580 32308 40385 56539 80770 113078 161540 226156 282695 565390 1130780