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14007040 = 28531353
BaseRepresentation
bin110101011011…
…101100000000
3222100122001021
4311123230000
512041211130
61220115224
7230025565
oct65335400
928318037
1014007040
1179a7773
124835b14
132b956b8
141c0886c
15136a37a
hexd5bb00

14007040 has 72 divisors (see below), whose sum is σ = 34731648. Its totient is φ = 5406720.

The previous prime is 14007011. The next prime is 14007067. The reversal of 14007040 is 4070041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 39504 + ... + 39856.

It is an arithmetic number, because the mean of its divisors is an integer number (482384).

Almost surely, 214007040 is an apocalyptic number.

14007040 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 14007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365824).

14007040 is an abundant number, since it is smaller than the sum of its proper divisors (20724608).

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

14007040 is an equidigital number, since it uses as much as digits as its factorization.

14007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 14007040 is about 3742.5980281083. The cubic root of 14007040 is about 241.0546182229.

Adding to 14007040 its reverse (4070041), we get a palindrome (18077081).

The spelling of 14007040 in words is "fourteen million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 353 496 620 640 706 992 1240 1280 1412 1765 1984 2480 2824 3530 3968 4960 5648 7060 7936 9920 10943 11296 14120 19840 21886 22592 28240 39680 43772 45184 54715 56480 87544 90368 109430 112960 175088 218860 225920 350176 437720 451840 700352 875440 1400704 1750880 2801408 3501760 7003520 14007040