Search a number
-
+
14087424 = 283131783
BaseRepresentation
bin110101101111…
…010100000000
3222111201022110
4311233110000
512101244144
61221535320
7230512131
oct65572400
928451273
1014087424
117a520aa
124874540
132bc3170
141c29c88
1513840b9
hexd6f500

14087424 has 144 divisors (see below), whose sum is σ = 43267392. Its totient is φ = 4030464.

The previous prime is 14087399. The next prime is 14087459. The reversal of 14087424 is 42478041.

It is a junction number, because it is equal to n+sod(n) for n = 14087391 and 14087400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169687 + ... + 169769.

It is an arithmetic number, because the mean of its divisors is an integer number (300468).

Almost surely, 214087424 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 14087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633696).

14087424 is an abundant number, since it is smaller than the sum of its proper divisors (29179968).

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

14087424 is a wasteful number, since it uses less digits than its factorization.

14087424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 14087424 is about 3753.3217288157. The cubic root of 14087424 is about 241.5148626236.

The spelling of 14087424 in words is "fourteen million, eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 83 96 102 104 128 136 156 166 192 204 208 221 249 256 272 312 332 384 408 416 442 498 544 624 663 664 768 816 832 884 996 1079 1088 1248 1326 1328 1411 1632 1664 1768 1992 2158 2176 2496 2652 2656 2822 3237 3264 3328 3536 3984 4233 4316 4352 4992 5304 5312 5644 6474 6528 7072 7968 8466 8632 9984 10608 10624 11288 12948 13056 14144 15936 16932 17264 18343 21216 21248 22576 25896 28288 31872 33864 34528 36686 42432 45152 51792 55029 56576 63744 67728 69056 73372 84864 90304 103584 110058 135456 138112 146744 169728 180608 207168 220116 270912 276224 293488 361216 414336 440232 541824 586976 828672 880464 1083648 1173952 1760928 2347904 3521856 4695808 7043712 14087424