Search a number
-
+
14417377 = 131789733
BaseRepresentation
bin110110111111…
…110111100001
31000010110220221
4312333313201
512142324002
61233003041
7233355112
oct66776741
930113827
1014417377
118157a97
1249b3481
132caa3c0
141cb4209
1513ebc37
hexdbfde1

14417377 has 16 divisors (see below), whose sum is σ = 16647120. Its totient is φ = 12367872.

The previous prime is 14417369. The next prime is 14417393. The reversal of 14417377 is 77371441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 159201 + 14258176 = 399^2 + 3776^2 .

It is a cyclic number.

It is not a de Polignac number, because 14417377 - 23 = 14417369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14417317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19303 + ... + 20035.

It is an arithmetic number, because the mean of its divisors is an integer number (1040445).

Almost surely, 214417377 is an apocalyptic number.

14417377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14417377 is a deficient number, since it is larger than the sum of its proper divisors (2229743).

14417377 is a wasteful number, since it uses less digits than its factorization.

14417377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its digits is 16464, while the sum is 34.

The square root of 14417377 is about 3797.0221226640. The cubic root of 14417377 is about 243.3859019887.

The spelling of 14417377 in words is "fourteen million, four hundred seventeen thousand, three hundred seventy-seven".

Divisors: 1 13 17 89 221 733 1157 1513 9529 12461 19669 65237 161993 848081 1109029 14417377