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11372130 = 2335711547
BaseRepresentation
bin101011011000…
…011001100010
3210101202122000
4223120121202
510402402010
61043424430
7165442620
oct53303142
923352560
1011372130
116468060
123985116
132482293
141720510
15ee97c0
hexad8662

11372130 has 128 divisors (see below), whose sum is σ = 37877760. Its totient is φ = 2358720.

The previous prime is 11372117. The next prime is 11372131. The reversal of 11372130 is 3127311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11372131) 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 63 ways as a sum of consecutive naturals, for example, 20517 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (295920).

Almost surely, 211372130 is an apocalyptic number.

11372130 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 11372130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18938880).

11372130 is an abundant number, since it is smaller than the sum of its proper divisors (26505630).

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

11372130 is a wasteful number, since it uses less digits than its factorization.

11372130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11372130 is about 3372.2588868591. The cubic root of 11372130 is about 224.8781562524.

Adding to 11372130 its reverse (3127311), we get a palindrome (14499441).

The spelling of 11372130 in words is "eleven million, three hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 547 594 630 693 770 945 990 1094 1155 1386 1485 1641 1890 2079 2310 2735 2970 3282 3465 3829 4158 4923 5470 6017 6930 7658 8205 9846 10395 11487 12034 14769 16410 18051 19145 20790 22974 24615 29538 30085 34461 36102 38290 42119 49230 54153 57435 60170 68922 73845 84238 90255 103383 108306 114870 126357 147690 162459 172305 180510 206766 210595 252714 270765 324918 344610 379071 421190 516915 541530 631785 758142 812295 1033830 1137213 1263570 1624590 1895355 2274426 3790710 5686065 11372130