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14004690 = 235731361
BaseRepresentation
bin110101011011…
…000111010010
3222100111211020
4311123013102
512041122230
61220100310
7230016000
oct65330722
928314736
1014004690
1179a5a27
124834696
132b945cb
141c07a70
151369810
hexd5b1d2

14004690 has 64 divisors (see below), whose sum is σ = 39225600. Its totient is φ = 3198720.

The previous prime is 14004649. The next prime is 14004707. The reversal of 14004690 is 9640041.

It is a super-2 number, since 2×140046902 = 392262683992200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14004690.

It is an unprimeable number.

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, 9610 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (612900).

Almost surely, 214004690 is an apocalyptic number.

14004690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612800).

14004690 is an abundant number, since it is smaller than the sum of its proper divisors (25220910).

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

14004690 is a wasteful number, since it uses less digits than its factorization.

14004690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14004690 is about 3742.2840619066. The cubic root of 14004690 is about 241.0411366681.

The spelling of 14004690 in words is "fourteen million, four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1361 1470 1715 2058 2722 3430 4083 5145 6805 8166 9527 10290 13610 19054 20415 28581 40830 47635 57162 66689 95270 133378 142905 200067 285810 333445 400134 466823 666890 933646 1000335 1400469 2000670 2334115 2800938 4668230 7002345 14004690