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14134432 = 251361557
BaseRepresentation
bin110101111010…
…110010100000
3222121002210111
4311322302200
512104300212
61222541104
7231066154
oct65726240
928532714
1014134432
117a84454
124897794
132c0b690
141c3d064
151392ea7
hexd7aca0

14134432 has 48 divisors (see below), whose sum is σ = 30513672. Its totient is φ = 6405120.

The previous prime is 14134403. The next prime is 14134433. The reversal of 14134432 is 23443141.

14134432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 11587216 = 1596^2 + 3404^2 .

It is not an unprimeable number, because it can be changed into a prime (14134433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25098 + ... + 25654.

Almost surely, 214134432 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 14134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256836).

14134432 is an abundant number, since it is smaller than the sum of its proper divisors (16379240).

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

14134432 is a wasteful number, since it uses less digits than its factorization.

14134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 14134432 is about 3759.5786998013. The cubic root of 14134432 is about 241.7831994992.

Adding to 14134432 its reverse (23443141), we get a palindrome (37577573).

It can be divided in two parts, 141344 and 32, that added together give a square (141376 = 3762).

The spelling of 14134432 in words is "fourteen million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 557 793 976 1114 1586 1952 2228 3172 4456 6344 7241 8912 12688 14482 17824 25376 28964 33977 57928 67954 115856 135908 231712 271816 441701 543632 883402 1087264 1766804 3533608 7067216 14134432