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14014008 = 23321511289
BaseRepresentation
bin110101011101…
…011000111000
3222100222121100
4311131120320
512041422013
61220211400
7230055111
oct65353070
928328540
1014014008
117a01a28
124839b60
132b98918
141c0b208
15136c473
hexd5d638

14014008 has 48 divisors (see below), whose sum is σ = 38235600. Its totient is φ = 4636800.

The previous prime is 14013991. The next prime is 14014019. The reversal of 14014008 is 80041041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10228 + ... + 11516.

It is an arithmetic number, because the mean of its divisors is an integer number (796575).

Almost surely, 214014008 is an apocalyptic number.

14014008 is a gapful number since it is divisible by the number (18) 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 14014008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117800).

14014008 is an abundant number, since it is smaller than the sum of its proper divisors (24221592).

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

14014008 is a wasteful number, since it uses less digits than its factorization.

14014008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14014008 is about 3743.5288165046. The cubic root of 14014008 is about 241.0945836054.

Adding to 14014008 its reverse (80041041), we get a palindrome (94055049).

The spelling of 14014008 in words is "fourteen million, fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1289 1359 1812 2578 2718 3624 3867 5156 5436 7734 10312 10872 11601 15468 23202 30936 46404 92808 194639 389278 583917 778556 1167834 1557112 1751751 2335668 3503502 4671336 7007004 14014008