Search a number
-
+
14456936 = 2313217237
BaseRepresentation
bin110111001001…
…100001101000
31000012111012002
4313021201220
512200110221
61233510132
7233611334
oct67114150
930174162
1014456936
11818478a
124a12348
132cc2400
141cc47c4
15140880b
hexdc9868

14456936 has 72 divisors (see below), whose sum is σ = 32023170. Its totient is φ = 6110208.

The previous prime is 14456879. The next prime is 14456957. The reversal of 14456936 is 63965441.

It can be written as a sum of positive squares in 9 ways, for example, as 3632836 + 10824100 = 1906^2 + 3290^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14456936.

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 17 ways as a sum of consecutive naturals, for example, 390710 + ... + 390746.

Almost surely, 214456936 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 14456936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011585).

14456936 is an abundant number, since it is smaller than the sum of its proper divisors (17566234).

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

14456936 is a wasteful number, since it uses less digits than its factorization.

14456936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 14456936 is about 3802.2277680328. The cubic root of 14456936 is about 243.6083028295.

The spelling of 14456936 in words is "fourteen million, four hundred fifty-six thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 37 52 68 74 104 136 148 169 221 289 296 338 442 481 578 629 676 884 962 1156 1258 1352 1768 1924 2312 2516 2873 3757 3848 5032 5746 6253 7514 8177 10693 11492 12506 15028 16354 21386 22984 25012 30056 32708 42772 48841 50024 65416 85544 97682 106301 139009 195364 212602 278018 390728 425204 556036 850408 1112072 1807117 3614234 7228468 14456936