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12103520 = 2551113232
BaseRepresentation
bin101110001010…
…111101100000
3211202220220112
4232022331200
511044303040
61111230452
7204610142
oct56127540
924686815
1012103520
116917610
124078428
13267a160
141870c92
1510e1365
hexb8af60

12103520 has 144 divisors (see below), whose sum is σ = 35117712. Its totient is φ = 3886080.

The previous prime is 12103517. The next prime is 12103529. The reversal of 12103520 is 2530121.

It is a happy number.

12103520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12103495 and 12103504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526229 + ... + 526251.

It is an arithmetic number, because the mean of its divisors is an integer number (243873).

Almost surely, 212103520 is an apocalyptic number.

12103520 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 12103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558856).

12103520 is an abundant number, since it is smaller than the sum of its proper divisors (23014192).

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

12103520 is a wasteful number, since it uses less digits than its factorization.

12103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12103520 is about 3479.0113538188. The cubic root of 12103520 is about 229.5993023244.

Adding to 12103520 its reverse (2530121), we get a palindrome (14633641).

The spelling of 12103520 in words is "twelve million, one hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 32 40 44 46 52 55 65 80 88 92 104 110 115 130 143 160 176 184 208 220 230 253 260 286 299 352 368 416 440 460 506 520 529 572 598 715 736 880 920 1012 1040 1058 1144 1196 1265 1430 1495 1760 1840 2024 2080 2116 2288 2392 2530 2645 2860 2990 3289 3680 4048 4232 4576 4784 5060 5290 5720 5819 5980 6578 6877 8096 8464 9568 10120 10580 11440 11638 11960 13156 13754 16445 16928 20240 21160 22880 23276 23920 26312 27508 29095 32890 34385 40480 42320 46552 47840 52624 55016 58190 65780 68770 75647 84640 93104 105248 110032 116380 131560 137540 151294 186208 220064 232760 263120 275080 302588 378235 465520 526240 550160 605176 756470 931040 1100320 1210352 1512940 2420704 3025880 6051760 12103520