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14432112 = 2432315361
BaseRepresentation
bin110111000011…
…011101110000
31000011020010200
4313003131300
512143311422
61233155200
7233446062
oct67033560
930136120
1014432112
118168072
1249bbb00
132cb4016
141cb9732
1514012ac
hexdc3770

14432112 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 4492800.

The previous prime is 14432107. The next prime is 14432129. The reversal of 14432112 is 21123441.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236562 + ... + 236622.

Almost surely, 214432112 is an apocalyptic number.

14432112 is a gapful number since it is divisible by the number (12) 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 14432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

14432112 is an abundant number, since it is smaller than the sum of its proper divisors (28743696).

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

14432112 is a wasteful number, since it uses less digits than its factorization.

14432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14432112 is about 3798.9619634842. The cubic root of 14432112 is about 243.4687897011.

Adding to 14432112 its reverse (21123441), we get a palindrome (35555553).

The spelling of 14432112 in words is "fourteen million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 53 61 62 72 93 106 122 124 144 159 183 186 212 244 248 279 318 366 372 424 477 488 496 549 558 636 732 744 848 954 976 1098 1116 1272 1464 1488 1643 1891 1908 2196 2232 2544 2928 3233 3286 3782 3816 4392 4464 4929 5673 6466 6572 7564 7632 8784 9699 9858 11346 12932 13144 14787 15128 17019 19398 19716 22692 25864 26288 29097 29574 30256 34038 38796 39432 45384 51728 58194 59148 68076 77592 78864 90768 100223 116388 118296 136152 155184 200446 232776 236592 272304 300669 400892 465552 601338 801784 902007 1202676 1603568 1804014 2405352 3608028 4810704 7216056 14432112