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14684680 = 2354773107
BaseRepresentation
bin111000000001…
…001000001000
31000122001121001
4320001020020
512224402210
61242424344
7235550323
oct70011010
930561531
1014684680
11831a8aa
124b020b4
133071c7a
141d437ba
15145103a
hexe01208

14684680 has 64 divisors (see below), whose sum is σ = 34525440. Its totient is φ = 5617152.

The previous prime is 14684641. The next prime is 14684699. The reversal of 14684680 is 8648641.

14684680 is nontrivially palindromic in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137187 + ... + 137293.

It is an arithmetic number, because the mean of its divisors is an integer number (539460).

Almost surely, 214684680 is an apocalyptic number.

14684680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14684680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262720).

14684680 is an abundant number, since it is smaller than the sum of its proper divisors (19840760).

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

14684680 is a wasteful number, since it uses less digits than its factorization.

14684680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 14684680 is about 3832.0594984942. The cubic root of 14684680 is about 244.8808527979.

The spelling of 14684680 in words is "fourteen million, six hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 73 94 107 146 188 214 235 292 365 376 428 470 535 584 730 856 940 1070 1460 1880 2140 2920 3431 4280 5029 6862 7811 10058 13724 15622 17155 20116 25145 27448 31244 34310 39055 40232 50290 62488 68620 78110 100580 137240 156220 201160 312440 367117 734234 1468468 1835585 2936936 3671170 7342340 14684680