Search a number
-
+
11130340 = 2251323789
BaseRepresentation
bin101010011101…
…010111100100
3202221110221211
4222131113210
510322132330
61034321204
7163414654
oct52352744
922843854
1011130340
116312431
123889204
1323c9200
14169a364
15e9cd2a
hexa9d5e4

11130340 has 72 divisors (see below), whose sum is σ = 26286120. Its totient is φ = 3953664.

The previous prime is 11130337. The next prime is 11130347. The reversal of 11130340 is 4303111.

It can be written as a sum of positive squares in 12 ways, for example, as 5645376 + 5484964 = 2376^2 + 2342^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11130340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125016 + ... + 125104.

It is an arithmetic number, because the mean of its divisors is an integer number (365085).

Almost surely, 211130340 is an apocalyptic number.

11130340 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 11130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143060).

11130340 is an abundant number, since it is smaller than the sum of its proper divisors (15155780).

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

11130340 is a wasteful number, since it uses less digits than its factorization.

11130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11130340 is about 3336.2164198385. The cubic root of 11130340 is about 223.2729670266.

Adding to 11130340 its reverse (4303111), we get a palindrome (15433451).

The spelling of 11130340 in words is "eleven million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 89 130 148 169 178 185 260 338 356 370 445 481 676 740 845 890 962 1157 1690 1780 1924 2314 2405 3293 3380 4628 4810 5785 6253 6586 9620 11570 12506 13172 15041 16465 23140 25012 30082 31265 32930 42809 60164 62530 65860 75205 85618 125060 150410 171236 214045 300820 428090 556517 856180 1113034 2226068 2782585 5565170 11130340