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14413320 = 2332540037
BaseRepresentation
bin110110111110…
…111000001000
31000010021100200
4312332320020
512142211240
61232532200
7233340225
oct66767010
930107320
1014413320
118154a39
1249b1060
132ca85bc
141cb294c
1513ea930
hexdbee08

14413320 has 48 divisors (see below), whose sum is σ = 46844460. Its totient is φ = 3843456.

The previous prime is 14413307. The next prime is 14413369. The reversal of 14413320 is 2331441.

It can be written as a sum of positive squares in 2 ways, for example, as 14333796 + 79524 = 3786^2 + 282^2 .

It is a super-3 number, since 3×144133203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14413293 and 14413302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19659 + ... + 20378.

Almost surely, 214413320 is an apocalyptic number.

14413320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14413320 is an abundant number, since it is smaller than the sum of its proper divisors (32431140).

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

14413320 is a wasteful number, since it uses less digits than its factorization.

14413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40054 (or 40047 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14413320 is about 3796.4878506325. The cubic root of 14413320 is about 243.3630705302.

Adding to 14413320 its reverse (2331441), we get a palindrome (16744761).

It can be divided in two parts, 1441 and 3320, that added together give a square (4761 = 692).

The spelling of 14413320 in words is "fourteen million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 40037 80074 120111 160148 200185 240222 320296 360333 400370 480444 600555 720666 800740 960888 1201110 1441332 1601480 1801665 2402220 2882664 3603330 4804440 7206660 14413320