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12061280 = 255711289
BaseRepresentation
bin101110000000…
…101001100000
3211200202222002
4232000221200
511041430110
61110303132
7204343040
oct56005140
924622862
1012061280
116898900
124057aa8
132663b6a
14185d720
1510d3aa5
hexb80a60

12061280 has 144 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 3717120.

The previous prime is 12061261. The next prime is 12061289. The reversal of 12061280 is 8216021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12061289) 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, 135476 + ... + 135564.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 212061280 is an apocalyptic number.

12061280 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 12061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

12061280 is an abundant number, since it is smaller than the sum of its proper divisors (24136000).

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

12061280 is a wasteful number, since it uses less digits than its factorization.

12061280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12061280 is about 3472.9353578781. The cubic root of 12061280 is about 229.3318986149.

The spelling of 12061280 in words is "twelve million, sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 89 110 112 121 140 154 160 176 178 220 224 242 280 308 352 356 385 440 445 484 560 605 616 623 712 770 847 880 890 968 979 1120 1210 1232 1246 1424 1540 1694 1760 1780 1936 1958 2420 2464 2492 2848 3080 3115 3388 3560 3872 3916 4235 4840 4895 4984 6160 6230 6776 6853 7120 7832 8470 9680 9790 9968 10769 12320 12460 13552 13706 14240 15664 16940 19360 19580 19936 21538 24920 27104 27412 31328 33880 34265 39160 43076 49840 53845 54824 67760 68530 75383 78320 86152 99680 107690 109648 135520 137060 150766 156640 172304 215380 219296 274120 301532 344608 376915 430760 548240 603064 753830 861520 1096480 1206128 1507660 1723040 2412256 3015320 6030640 12061280