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14240040 = 2335532239
BaseRepresentation
bin110110010100…
…100100101000
3222210110122220
4312110210220
512121140130
61225114040
7232016103
oct66244450
928713586
1014240040
118046831
124928920
132c47779
141c6973a
1513b4410
hexd94928

14240040 has 64 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3724032.

The previous prime is 14240029. The next prime is 14240047. The reversal of 14240040 is 4004241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (14240047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5241 + ... + 7479.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 214240040 is an apocalyptic number.

14240040 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 14240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14240040 is an abundant number, since it is smaller than the sum of its proper divisors (29305560).

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

14240040 is a wasteful number, since it uses less digits than its factorization.

14240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14240040 is about 3773.5977528083. The cubic root of 14240040 is about 242.3838817720.

Adding to 14240040 its reverse (4004241), we get a palindrome (18244281).

The spelling of 14240040 in words is "fourteen million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 2239 3180 4478 6360 6717 8956 11195 13434 17912 22390 26868 33585 44780 53736 67170 89560 118667 134340 237334 268680 356001 474668 593335 712002 949336 1186670 1424004 1780005 2373340 2848008 3560010 4746680 7120020 14240040