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14123466 = 2327267239
BaseRepresentation
bin110101111000…
…000111001010
3222120112202100
4311320013022
512103422331
61222414230
7231022200
oct65700712
928515670
1014123466
117a77195
124891376
132c066a6
141c39070
15138eae6
hexd781ca

14123466 has 72 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 3958416.

The previous prime is 14123437. The next prime is 14123471. The reversal of 14123466 is 66432141.

14123466 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58975 + ... + 59213.

It is an arithmetic number, because the mean of its divisors is an integer number (503880).

Almost surely, 214123466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14123466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

14123466 is an abundant number, since it is smaller than the sum of its proper divisors (22155894).

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

14123466 is a wasteful number, since it uses less digits than its factorization.

14123466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14123466 is about 3758.1200087278. The cubic root of 14123466 is about 241.7206552917.

The spelling of 14123466 in words is "fourteen million, one hundred twenty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 239 294 402 441 469 478 603 717 882 938 1206 1407 1434 1673 2151 2814 3283 3346 4221 4302 5019 6566 8442 9849 10038 11711 15057 16013 19698 23422 29547 30114 32026 35133 48039 59094 70266 96078 105399 112091 144117 210798 224182 288234 336273 672546 784637 1008819 1569274 2017638 2353911 4707822 7061733 14123466