Search a number
-
+
14046240 = 2535132251
BaseRepresentation
bin110101100101…
…010000100000
3222102121211010
4311211100200
512043434430
61221020520
7230251065
oct65452040
928377733
1014046240
117a2416a
124854740
132baa4b0
141c18c6c
151376cb0
hexd65420

14046240 has 96 divisors (see below), whose sum is σ = 47670336. Its totient is φ = 3456000.

The previous prime is 14046229. The next prime is 14046259. The reversal of 14046240 is 4264041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is a congruent number.

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, 5115 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (496566).

Almost surely, 214046240 is an apocalyptic number.

14046240 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 14046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23835168).

14046240 is an abundant number, since it is smaller than the sum of its proper divisors (33624096).

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

14046240 is a wasteful number, since it uses less digits than its factorization.

14046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 14046240 is about 3747.8313729409. The cubic root of 14046240 is about 241.2792800064.

The spelling of 14046240 in words is "fourteen million, forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 2251 3120 4502 6240 6753 9004 11255 13506 18008 22510 27012 29263 33765 36016 45020 54024 58526 67530 72032 87789 90040 108048 117052 135060 146315 175578 180080 216096 234104 270120 292630 351156 360160 438945 468208 540240 585260 702312 877890 936416 1080480 1170520 1404624 1755780 2341040 2809248 3511560 4682080 7023120 14046240