Search a number
-
+
14417130 = 2357135281
BaseRepresentation
bin110110111111…
…110011101010
31000010110120210
4312333303222
512142322010
61233001550
7233354310
oct66776352
930113523
1014417130
118157892
1249b32b6
132caa260
141cb40b0
1513ebb20
hexdbfcea

14417130 has 64 divisors (see below), whose sum is σ = 42594048. Its totient is φ = 3041280.

The previous prime is 14417111. The next prime is 14417131. The reversal of 14417130 is 3171441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14417097 and 14417106.

It is not an unprimeable number, because it can be changed into a prime (14417131) 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 31 ways as a sum of consecutive naturals, for example, 90 + ... + 5370.

It is an arithmetic number, because the mean of its divisors is an integer number (665532).

Almost surely, 214417130 is an apocalyptic number.

14417130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14417130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297024).

14417130 is an abundant number, since it is smaller than the sum of its proper divisors (28176918).

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

14417130 is a wasteful number, since it uses less digits than its factorization.

14417130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 14417130 is about 3796.9895970361. The cubic root of 14417130 is about 243.3845120766.

Adding to 14417130 its reverse (3171441), we get a palindrome (17588571).

The spelling of 14417130 in words is "fourteen million, four hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 5281 10562 15843 26405 31686 36967 52810 68653 73934 79215 110901 137306 158430 184835 205959 221802 343265 369670 411918 480571 554505 686530 961142 1029795 1109010 1441713 2059590 2402855 2883426 4805710 7208565 14417130