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14040840 = 2335112967
BaseRepresentation
bin110101100011…
…111100001000
3222102100102010
4311203330020
512043301330
61220535520
7230226252
oct65437410
928370363
1014040840
117a20100
1248515a0
132ba7bb8
141c16cd2
1513753b0
hexd63f08

14040840 has 96 divisors (see below), whose sum is σ = 46347840. Its totient is φ = 3400320.

The previous prime is 14040823. The next prime is 14040841. The reversal of 14040840 is 4804041.

14040840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14040841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14037 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (482790).

Almost surely, 214040840 is an apocalyptic number.

14040840 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 14040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).

14040840 is an abundant number, since it is smaller than the sum of its proper divisors (32307000).

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

14040840 is a wasteful number, since it uses less digits than its factorization.

14040840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 14040840 is about 3747.1108870702. The cubic root of 14040840 is about 241.2483565442.

Adding to 14040840 its reverse (4804041), we get a palindrome (18844881).

The spelling of 14040840 in words is "fourteen million, forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 967 968 1210 1320 1452 1815 1934 2420 2901 2904 3630 3868 4835 4840 5802 7260 7736 9670 10637 11604 14505 14520 19340 21274 23208 29010 31911 38680 42548 53185 58020 63822 85096 106370 116040 117007 127644 159555 212740 234014 255288 319110 351021 425480 468028 585035 638220 702042 936056 1170070 1276440 1404084 1755105 2340140 2808168 3510210 4680280 7020420 14040840