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14216904 = 2333136183
BaseRepresentation
bin110110001110…
…111011001000
3222202021221000
4312032323020
512114420104
61224415000
7231561462
oct66167310
928667830
1014216904
118030409
124917460
132c3a090
141c61132
1513ac639
hexd8eec8

14216904 has 128 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 4250880.

The previous prime is 14216903. The next prime is 14216911. The reversal of 14216904 is 40961241.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14216903) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 171247 + ... + 171329.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 214216904 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 14216904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

14216904 is an abundant number, since it is smaller than the sum of its proper divisors (29530296).

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

14216904 is a wasteful number, since it uses less digits than its factorization.

14216904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14216904 is about 3770.5309970878. The cubic root of 14216904 is about 242.2525424112.

The spelling of 14216904 in words is "fourteen million, two hundred sixteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 83 104 108 117 122 156 166 183 216 234 244 249 312 332 351 366 468 488 498 549 664 702 732 747 793 936 996 1079 1098 1404 1464 1494 1586 1647 1992 2158 2196 2241 2379 2808 2988 3172 3237 3294 4316 4392 4482 4758 5063 5976 6344 6474 6588 7137 8632 8964 9516 9711 10126 12948 13176 14274 15189 17928 19032 19422 20252 21411 25896 28548 29133 30378 38844 40504 42822 45567 57096 58266 60756 65819 77688 85644 91134 116532 121512 131638 136701 171288 182268 197457 233064 263276 273402 364536 394914 526552 546804 592371 789828 1093608 1184742 1579656 1777113 2369484 3554226 4738968 7108452 14216904