[go: up one dir, main page]

Search a number
-
+
14108688 = 2433112969
BaseRepresentation
bin110101110100…
…100000010000
3222112210111000
4311310200100
512102434223
61222222000
7230631126
oct65644020
928483430
1014108688
117a67080
124884900
132bcca49
141c33916
15138a543
hexd74810

14108688 has 80 divisors (see below), whose sum is σ = 44193600. Its totient is φ = 4273920.

The previous prime is 14108663. The next prime is 14108693. The reversal of 14108688 is 88680141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3268 + ... + 6236.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 214108688 is an apocalyptic number.

14108688 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 14108688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096800).

14108688 is an abundant number, since it is smaller than the sum of its proper divisors (30084912).

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

14108688 is a wasteful number, since it uses less digits than its factorization.

14108688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 14108688 is about 3756.1533515020. The cubic root of 14108688 is about 241.6363182395.

The spelling of 14108688 in words is "fourteen million, one hundred eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 2969 4752 5938 8907 11876 17814 23752 26721 32659 35628 47504 53442 65318 71256 80163 97977 106884 130636 142512 160326 195954 213768 261272 293931 320652 391908 427536 522544 587862 641304 783816 881793 1175724 1282608 1567632 1763586 2351448 3527172 4702896 7054344 14108688