Search a number
-
+
14819340 = 2235614049
BaseRepresentation
bin111000100010…
…000000001100
31000212220022110
4320202000030
512243204330
61245344020
7236651034
oct70420014
930786273
1014819340
118401a98
124b68010
1330bb353
141d7a8c4
15147adb0
hexe2200c

14819340 has 48 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 3886080.

The previous prime is 14819339. The next prime is 14819341. The reversal of 14819340 is 4391841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14819339) and next prime (14819341).

It is a super-2 number, since 2×148193402 = 439225676071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14819298 and 14819307.

It is not an unprimeable number, because it can be changed into a prime (14819341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 214819340 is an apocalyptic number.

14819340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14819340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

14819340 is an abundant number, since it is smaller than the sum of its proper divisors (27365460).

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

14819340 is a wasteful number, since it uses less digits than its factorization.

14819340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14819340 is about 3849.5895885146. The cubic root of 14819340 is about 245.6271037509.

The spelling of 14819340 in words is "fourteen million, eight hundred nineteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 4049 8098 12147 16196 20245 24294 40490 48588 60735 80980 121470 242940 246989 493978 740967 987956 1234945 1481934 2469890 2963868 3704835 4939780 7409670 14819340