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14183728 = 2413193797
BaseRepresentation
bin110110000110…
…110100110000
3222200121102021
4312012310300
512112334403
61224001224
7231362656
oct66066460
928617367
1014183728
118008499
124900214
132c27c50
141c52dd6
1513a28bd
hexd86d30

14183728 has 80 divisors (see below), whose sum is σ = 32324320. Its totient is φ = 5971968.

The previous prime is 14183717. The next prime is 14183737. The reversal of 14183728 is 82738141.

It is a happy number.

Its product of digits (10752) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 14183693 and 14183702.

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, 146176 + ... + 146272.

It is an arithmetic number, because the mean of its divisors is an integer number (404054).

Almost surely, 214183728 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 14183728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162160).

14183728 is an abundant number, since it is smaller than the sum of its proper divisors (18140592).

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

14183728 is a wasteful number, since it uses less digits than its factorization.

14183728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 14183728 is about 3766.1290471783. The cubic root of 14183728 is about 242.0639586884.

The spelling of 14183728 in words is "fourteen million, one hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 74 76 97 104 148 152 194 208 247 296 304 388 481 494 592 703 776 962 988 1261 1406 1552 1843 1924 1976 2522 2812 3589 3686 3848 3952 5044 5624 7178 7372 7696 9139 10088 11248 14356 14744 18278 20176 23959 28712 29488 36556 46657 47918 57424 68191 73112 93314 95836 136382 146224 186628 191672 272764 373256 383344 545528 746512 886483 1091056 1772966 3545932 7091864 14183728