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12071280 = 2435135373
BaseRepresentation
bin101110000011…
…000101110000
3211201021200110
4232003011300
511042240110
61110421320
7204414144
oct56030560
924637613
1012071280
1168a5371
124061840
132668590
141863224
1510d6a20
hexb83170

12071280 has 160 divisors (see below), whose sum is σ = 41622336. Its totient is φ = 2875392.

The previous prime is 12071273. The next prime is 12071281. The reversal of 12071280 is 8217021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165324 + ... + 165396.

Almost surely, 212071280 is an apocalyptic number.

12071280 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 12071280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20811168).

12071280 is an abundant number, since it is smaller than the sum of its proper divisors (29551056).

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

12071280 is a wasteful number, since it uses less digits than its factorization.

12071280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12071280 is about 3474.3747638964. The cubic root of 12071280 is about 229.3952607534.

The spelling of 12071280 in words is "twelve million, seventy-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 53 60 65 73 78 80 104 106 120 130 146 156 159 195 208 212 219 240 260 265 292 312 318 365 390 424 438 520 530 584 624 636 689 730 780 795 848 876 949 1040 1060 1095 1168 1272 1378 1460 1560 1590 1752 1898 2067 2120 2190 2544 2756 2847 2920 3120 3180 3445 3504 3796 3869 4134 4240 4380 4745 5512 5694 5840 6360 6890 7592 7738 8268 8760 9490 10335 11024 11388 11607 12720 13780 14235 15184 15476 16536 17520 18980 19345 20670 22776 23214 27560 28470 30952 33072 37960 38690 41340 45552 46428 50297 55120 56940 58035 61904 75920 77380 82680 92856 100594 113880 116070 150891 154760 165360 185712 201188 227760 232140 251485 301782 309520 402376 464280 502970 603564 754455 804752 928560 1005940 1207128 1508910 2011880 2414256 3017820 4023760 6035640 12071280