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14087268 = 22321331971
BaseRepresentation
bin110101101111…
…010001100100
3222111201002200
4311233101210
512101243033
61221534500
7230511516
oct65572144
928451080
1014087268
117a51a78
124874430
132bc3080
141c29bb6
151384013
hexd6f464

14087268 has 72 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 4190400.

The previous prime is 14087179. The next prime is 14087317. The reversal of 14087268 is 86278041.

It is a super-2 number, since 2×140872682 = 396902239407648, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 14023 + ... + 14993.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 214087268 is an apocalyptic number.

14087268 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 14087268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

14087268 is an abundant number, since it is smaller than the sum of its proper divisors (25539228).

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

14087268 is a wasteful number, since it uses less digits than its factorization.

14087268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14087268 is about 3753.3009471664. The cubic root of 14087268 is about 241.5139711321.

The spelling of 14087268 in words is "fourteen million, eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 971 1116 1209 1612 1942 2418 2913 3627 3884 4836 5826 7254 8739 11652 12623 14508 17478 25246 30101 34956 37869 50492 60202 75738 90303 113607 120404 151476 180606 227214 270909 361212 391313 454428 541818 782626 1083636 1173939 1565252 2347878 3521817 4695756 7043634 14087268