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12140280 = 233551249
BaseRepresentation
bin101110010011…
…111011111000
3211211210100000
4232103323320
511101442110
61112113000
7205122255
oct56237370
924753300
1012140280
116942199
124095760
132690ac9
14188042c
1510ec1c0
hexb93ef8

12140280 has 96 divisors (see below), whose sum is σ = 40950000. Its totient is φ = 3234816.

The previous prime is 12140273. The next prime is 12140287. The reversal of 12140280 is 8204121.

It is an interprime number because it is at equal distance from previous prime (12140273) and next prime (12140287).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140287) 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, 9096 + ... + 10344.

Almost surely, 212140280 is an apocalyptic number.

12140280 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 12140280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20475000).

12140280 is an abundant number, since it is smaller than the sum of its proper divisors (28809720).

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

12140280 is a wasteful number, since it uses less digits than its factorization.

12140280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12140280 is about 3484.2904586156. The cubic root of 12140280 is about 229.8315086083.

It can be divided in two parts, 121 and 40280, that added together give a square (40401 = 2012).

The spelling of 12140280 in words is "twelve million, one hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1249 1620 1944 2430 2498 3240 3747 4860 4996 6245 7494 9720 9992 11241 12490 14988 18735 22482 24980 29976 33723 37470 44964 49960 56205 67446 74940 89928 101169 112410 134892 149880 168615 202338 224820 269784 303507 337230 404676 449640 505845 607014 674460 809352 1011690 1214028 1348920 1517535 2023380 2428056 3035070 4046760 6070140 12140280