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14001152 = 210112113
BaseRepresentation
bin110101011010…
…010000000000
3222100022222012
4311122100000
512041014102
61220032052
7230002454
oct65322000
928308865
1014001152
1179a3300
124832628
132b92b09
141c06664
151368752
hexd5a400

14001152 has 66 divisors (see below), whose sum is σ = 31036614. Its totient is φ = 6307840.

The previous prime is 14001151. The next prime is 14001179. The reversal of 14001152 is 25110041.

It can be written as a sum of positive squares in only one way, i.e., 7929856 + 6071296 = 2816^2 + 2464^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14001151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123848 + ... + 123960.

Almost surely, 214001152 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 14001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518307).

14001152 is an abundant number, since it is smaller than the sum of its proper divisors (17035462).

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

14001152 is a wasteful number, since it uses less digits than its factorization.

14001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 14001152 is about 3741.8113260826. The cubic root of 14001152 is about 241.0208369121.

Adding to 14001152 its reverse (25110041), we get a palindrome (39111193).

Subtracting 14001152 from its reverse (25110041), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1400 and 1152, that added together give a palindrome (2552).

The spelling of 14001152 in words is "fourteen million, one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 121 128 176 226 242 256 352 452 484 512 704 904 968 1024 1243 1408 1808 1936 2486 2816 3616 3872 4972 5632 7232 7744 9944 11264 13673 14464 15488 19888 27346 28928 30976 39776 54692 57856 61952 79552 109384 115712 123904 159104 218768 318208 437536 636416 875072 1272832 1750144 3500288 7000576 14001152