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12103440 = 2435293747
BaseRepresentation
bin101110001010…
…111100010000
3211202220210120
4232022330100
511044302230
61111230240
7204606666
oct56127420
924686716
1012103440
116917548
124078380
13267a0cb
141870c36
1510e1310
hexb8af10

12103440 has 160 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 2967552.

The previous prime is 12103433. The next prime is 12103447. The reversal of 12103440 is 4430121.

It is a Cunningham number, because it is equal to 34792-1.

It is an interprime number because it is at equal distance from previous prime (12103433) and next prime (12103447).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103447) 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 31 ways as a sum of consecutive naturals, for example, 257497 + ... + 257543.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 212103440 is an apocalyptic number.

12103440 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 12103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

12103440 is an abundant number, since it is smaller than the sum of its proper divisors (28608240).

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

12103440 is a wasteful number, since it uses less digits than its factorization.

12103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12103440 is about 3478.9998562805. Note that the first 3 decimals coincide. The cubic root of 12103440 is about 229.5987964665.

Adding to 12103440 its reverse (4430121), we get a palindrome (16533561).

The spelling of 12103440 in words is "twelve million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 47 48 58 60 74 80 87 94 111 116 120 141 145 148 174 185 188 222 232 235 240 282 290 296 348 370 376 435 444 464 470 555 564 580 592 696 705 740 752 870 888 940 1073 1110 1128 1160 1363 1392 1410 1480 1739 1740 1776 1880 2146 2220 2256 2320 2726 2820 2960 3219 3478 3480 3760 4089 4292 4440 5217 5365 5452 5640 6438 6815 6956 6960 8178 8584 8695 8880 10434 10730 10904 11280 12876 13630 13912 16095 16356 17168 17390 20445 20868 21460 21808 25752 26085 27260 27824 32190 32712 34780 40890 41736 42920 50431 51504 52170 54520 64380 65424 69560 81780 83472 85840 100862 104340 109040 128760 139120 151293 163560 201724 208680 252155 257520 302586 327120 403448 417360 504310 605172 756465 806896 1008620 1210344 1512930 2017240 2420688 3025860 4034480 6051720 12103440