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14106456 = 23327132153
BaseRepresentation
bin110101110011…
…111101011000
3222112200102100
4311303331120
512102401311
61222203400
7230621460
oct65637530
928480370
1014106456
117a65431
124883560
132bcba20
141c32ba0
151389a56
hexd73f58

14106456 has 96 divisors (see below), whose sum is σ = 47043360. Its totient is φ = 3718656.

The previous prime is 14106437. The next prime is 14106467. The reversal of 14106456 is 65460141.

14106456 is a `hidden beast` number, since 1 + 4 + 10 + 645 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5476 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (490035).

Almost surely, 214106456 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 14106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23521680).

14106456 is an abundant number, since it is smaller than the sum of its proper divisors (32936904).

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

14106456 is a wasteful number, since it uses less digits than its factorization.

14106456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14106456 is about 3755.8562272803. The cubic root of 14106456 is about 241.6235752472.

Adding to 14106456 its reverse (65460141), we get a palindrome (79566597).

The spelling of 14106456 in words is "fourteen million, one hundred six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2153 2184 3276 4306 6459 6552 8612 12918 15071 17224 19377 25836 27989 30142 38754 45213 51672 55978 60284 77508 83967 90426 111956 120568 135639 155016 167934 180852 195923 223912 251901 271278 335868 361704 391846 503802 542556 587769 671736 783692 1007604 1085112 1175538 1567384 1763307 2015208 2351076 3526614 4702152 7053228 14106456