Search a number
-
+
14089440 = 2535149197
BaseRepresentation
bin110101101111…
…110011100000
3222111211002010
4311233303200
512101330230
61221552520
7230521041
oct65576340
928454063
1014089440
117a53672
124875740
132bc4061
141c2a8c8
1513849b0
hexd6fce0

14089440 has 96 divisors (see below), whose sum is σ = 44906400. Its totient is φ = 3713024.

The previous prime is 14089433. The next prime is 14089451. The reversal of 14089440 is 4498041.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14089398 and 14089407.

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, 71422 + ... + 71618.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 214089440 is an apocalyptic number.

14089440 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 14089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453200).

14089440 is an abundant number, since it is smaller than the sum of its proper divisors (30816960).

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

14089440 is a wasteful number, since it uses less digits than its factorization.

14089440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14089440 is about 3753.5902813173. The cubic root of 14089440 is about 241.5263828453.

The spelling of 14089440 in words is "fourteen million, eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 197 240 298 394 447 480 591 596 745 788 894 985 1182 1192 1490 1576 1788 1970 2235 2364 2384 2955 2980 3152 3576 3940 4470 4728 4768 5910 5960 6304 7152 7880 8940 9456 11820 11920 14304 15760 17880 18912 23640 23840 29353 31520 35760 47280 58706 71520 88059 94560 117412 146765 176118 234824 293530 352236 440295 469648 587060 704472 880590 939296 1174120 1408944 1761180 2348240 2817888 3522360 4696480 7044720 14089440