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14214024 = 233211131137
BaseRepresentation
bin110110001110…
…001110001000
3222202010222100
4312032032020
512114322044
61224353400
7231550206
oct66161610
928663870
1014214024
118029230
124915860
132c38986
141c60076
1513ab869
hexd8e388

14214024 has 96 divisors (see below), whose sum is σ = 42625440. Its totient is φ = 4243200.

The previous prime is 14214019. The next prime is 14214043. The reversal of 14214024 is 42041241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14213988 and 14214006.

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 23 ways as a sum of consecutive naturals, for example, 103684 + ... + 103820.

It is an arithmetic number, because the mean of its divisors is an integer number (444015).

Almost surely, 214214024 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 14214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312720).

14214024 is an abundant number, since it is smaller than the sum of its proper divisors (28411416).

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

14214024 is a wasteful number, since it uses less digits than its factorization.

14214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14214024 is about 3770.1490686709. The cubic root of 14214024 is about 242.2361831429.

Adding to 14214024 its reverse (42041241), we get a palindrome (56255265).

It can be divided in two parts, 1421 and 4024, that added together give a palindrome (5445).

The spelling of 14214024 in words is "fourteen million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 131 132 137 198 262 264 274 393 396 411 524 548 786 792 822 1048 1096 1179 1233 1441 1507 1572 1644 2358 2466 2882 3014 3144 3288 4323 4521 4716 4932 5764 6028 8646 9042 9432 9864 11528 12056 12969 13563 17292 17947 18084 25938 27126 34584 35894 36168 51876 53841 54252 71788 103752 107682 108504 143576 161523 197417 215364 323046 394834 430728 592251 646092 789668 1184502 1292184 1579336 1776753 2369004 3553506 4738008 7107012 14214024