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14038120 = 235714943
BaseRepresentation
bin110101100011…
…010001101000
3222102012200101
4311203101220
512043204440
61220515144
7230215315
oct65432150
928365611
1014038120
117a19058
12484bab4
132ba68a5
141c15d0c
15137469a
hexd63468

14038120 has 32 divisors (see below), whose sum is σ = 32037120. Its totient is φ = 5535040.

The previous prime is 14038109. The next prime is 14038121. The reversal of 14038120 is 2183041.

It is not an unprimeable number, because it can be changed into a prime (14038121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 5311.

It is an arithmetic number, because the mean of its divisors is an integer number (1001160).

Almost surely, 214038120 is an apocalyptic number.

14038120 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 14038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16018560).

14038120 is an abundant number, since it is smaller than the sum of its proper divisors (17999000).

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

14038120 is a wasteful number, since it uses less digits than its factorization.

14038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14038120 is about 3746.7479231995. The cubic root of 14038120 is about 241.2327772791.

The spelling of 14038120 in words is "fourteen million, thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4943 9886 19772 24715 39544 49430 98860 197720 350953 701906 1403812 1754765 2807624 3509530 7019060 14038120