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14038540 = 2253761311
BaseRepresentation
bin110101100011…
…011000001100
3222102020020221
4311203120030
512043213130
61220521124
7230216455
oct65433014
928366227
1014038540
117a193aa
1248501a4
132ba6b39
141c1612c
15137487a
hexd6360c

14038540 has 48 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 5356800.

The previous prime is 14038529. The next prime is 14038543. The reversal of 14038540 is 4583041.

It is not an unprimeable number, because it can be changed into a prime (14038543) 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 15 ways as a sum of consecutive naturals, for example, 44985 + ... + 45295.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 214038540 is an apocalyptic number.

14038540 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 14038540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

14038540 is an abundant number, since it is smaller than the sum of its proper divisors (16834484).

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

14038540 is a wasteful number, since it uses less digits than its factorization.

14038540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14038540 is about 3746.8039713868. The cubic root of 14038540 is about 241.2351830323.

The spelling of 14038540 in words is "fourteen million, thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 311 370 610 622 740 1220 1244 1555 2257 3110 4514 6220 9028 11285 11507 18971 22570 23014 37942 45140 46028 57535 75884 94855 115070 189710 230140 379420 701927 1403854 2807708 3509635 7019270 14038540