Search a number
-
+
14131104 = 25313367
BaseRepresentation
bin110101111001…
…111110100000
3222120221020020
4311321332200
512104143404
61222513440
7231053361
oct65717640
928527206
1014131104
117a819a9
124895880
132c0a000
141c3bb68
151391ed9
hexd79fa0

14131104 has 96 divisors (see below), whose sum is σ = 40783680. Its totient is φ = 4283136.

The previous prime is 14131081. The next prime is 14131109. The reversal of 14131104 is 40113141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210879 + ... + 210945.

It is an arithmetic number, because the mean of its divisors is an integer number (424830).

Almost surely, 214131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391840).

14131104 is an abundant number, since it is smaller than the sum of its proper divisors (26652576).

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

14131104 is an equidigital number, since it uses as much as digits as its factorization.

14131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 14131104 is about 3759.1360709610. The cubic root of 14131104 is about 241.7642217846.

Adding to 14131104 its reverse (40113141), we get a palindrome (54244245).

The spelling of 14131104 in words is "fourteen million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 169 201 208 268 312 338 402 416 507 536 624 676 804 871 1014 1072 1248 1352 1608 1742 2028 2144 2197 2613 2704 3216 3484 4056 4394 5226 5408 6432 6591 6968 8112 8788 10452 11323 13182 13936 16224 17576 20904 22646 26364 27872 33969 35152 41808 45292 52728 67938 70304 83616 90584 105456 135876 147199 181168 210912 271752 294398 362336 441597 543504 588796 883194 1087008 1177592 1766388 2355184 3532776 4710368 7065552 14131104