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14233128 = 233741319
BaseRepresentation
bin110110010010…
…111000101000
3222210010011220
4312102320220
512120430003
61225022040
7231660000
oct66227050
928703156
1014233128
118041618
124924920
132c44590
141c67000
1513b2353
hexd92e28

14233128 has 160 divisors (see below), whose sum is σ = 47056800. Its totient is φ = 3556224.

The previous prime is 14233117. The next prime is 14233133. The reversal of 14233128 is 82133241.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 14233098 and 14233107.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 749103 + ... + 749121.

It is an arithmetic number, because the mean of its divisors is an integer number (294105).

Almost surely, 214233128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528400).

14233128 is an abundant number, since it is smaller than the sum of its proper divisors (32823672).

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

14233128 is a wasteful number, since it uses less digits than its factorization.

14233128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 14233128 is about 3772.6818047644. The cubic root of 14233128 is about 242.3446583678.

Adding to 14233128 its reverse (82133241), we get a palindrome (96366369).

The spelling of 14233128 in words is "fourteen million, two hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 49 52 56 57 76 78 84 91 98 104 114 133 147 152 156 168 182 196 228 247 266 273 294 312 343 364 392 399 456 494 532 546 588 637 686 728 741 798 931 988 1029 1064 1092 1176 1274 1372 1482 1596 1729 1862 1911 1976 2058 2184 2401 2548 2744 2793 2964 3192 3458 3724 3822 4116 4459 4802 5096 5187 5586 5928 6517 6916 7203 7448 7644 8232 8918 9604 10374 11172 12103 13034 13377 13832 14406 15288 17836 19208 19551 20748 22344 24206 26068 26754 28812 31213 35672 36309 39102 41496 45619 48412 52136 53508 57624 62426 72618 78204 84721 91238 93639 96824 107016 124852 136857 145236 156408 169442 182476 187278 249704 254163 273714 290472 338884 364952 374556 508326 547428 593047 677768 749112 1016652 1094856 1186094 1779141 2033304 2372188 3558282 4744376 7116564 14233128