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14917014 = 2337193167
BaseRepresentation
bin111000111001…
…110110010110
31001001212022000
4320321312112
512304321024
61251420130
7240535560
oct70716626
931055260
1014917014
118469412
124bb4646
133123948
141da4330
151499cc9
hexe39d96

14917014 has 128 divisors (see below), whose sum is σ = 41779200. Its totient is φ = 3849120.

The previous prime is 14917013. The next prime is 14917027. The reversal of 14917014 is 41071941.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14917013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222609 + ... + 222675.

It is an arithmetic number, because the mean of its divisors is an integer number (326400).

Almost surely, 214917014 is an apocalyptic number.

14917014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14917014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889600).

14917014 is an abundant number, since it is smaller than the sum of its proper divisors (26862186).

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

14917014 is a wasteful number, since it uses less digits than its factorization.

14917014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 14917014 is about 3862.2550407760. The cubic root of 14917014 is about 246.1655637401.

Adding to 14917014 its reverse (41071941), we get a palindrome (55988955).

The spelling of 14917014 in words is "fourteen million, nine hundred seventeen thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 31 38 42 54 57 62 63 67 93 114 126 133 134 171 186 189 201 217 266 279 342 378 399 402 434 469 513 558 589 603 651 798 837 938 1026 1178 1197 1206 1273 1302 1407 1674 1767 1809 1953 2077 2394 2546 2814 3534 3591 3618 3819 3906 4123 4154 4221 5301 5859 6231 7182 7638 8246 8442 8911 10602 11457 11718 12369 12462 12663 14539 15903 17822 18693 22914 24738 25326 26733 29078 31806 34371 37107 37386 39463 43617 53466 56079 68742 74214 78926 80199 87234 111321 112158 118389 130851 160398 222642 236778 240597 261702 276241 355167 392553 481194 552482 710334 785106 828723 1065501 1657446 2131002 2486169 4972338 7458507 14917014