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12014240 = 255717631
BaseRepresentation
bin101101110101…
…001010100000
3211121101102212
4231311022200
511033423430
61105301252
7204055640
oct55651240
924541385
1012014240
116866527
124034828
132648624
14184a520
1510c4b95
hexb752a0

12014240 has 96 divisors (see below), whose sum is σ = 34401024. Its totient is φ = 3870720.

The previous prime is 12014221. The next prime is 12014269. The reversal of 12014240 is 4241021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18725 + ... + 19355.

It is an arithmetic number, because the mean of its divisors is an integer number (358344).

Almost surely, 212014240 is an apocalyptic number.

12014240 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 12014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200512).

12014240 is an abundant number, since it is smaller than the sum of its proper divisors (22386784).

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

12014240 is a wasteful number, since it uses less digits than its factorization.

12014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12014240 is about 3466.1563726987. The cubic root of 12014240 is about 229.0333723285.

Adding to 12014240 its reverse (4241021), we get a palindrome (16255261).

The spelling of 12014240 in words is "twelve million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 631 680 952 1120 1190 1262 1360 1904 2380 2524 2720 3155 3808 4417 4760 5048 6310 8834 9520 10096 10727 12620 17668 19040 20192 21454 22085 25240 35336 42908 44170 50480 53635 70672 75089 85816 88340 100960 107270 141344 150178 171632 176680 214540 300356 343264 353360 375445 429080 600712 706720 750890 858160 1201424 1501780 1716320 2402848 3003560 6007120 12014240