Search a number
-
+
14083038 = 2331723229
BaseRepresentation
bin110101101110…
…001111011110
3222111111022000
4311232033132
512101124123
61221503130
7230463264
oct65561736
928444260
1014083038
117a49882
124871aa6
132bc1178
141c28434
151382b43
hexd6e3de

14083038 has 96 divisors (see below), whose sum is σ = 35834400. Its totient is φ = 4080384.

The previous prime is 14082997. The next prime is 14083039. The reversal of 14083038 is 83038041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14083039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485608 + ... + 485636.

It is an arithmetic number, because the mean of its divisors is an integer number (373275).

Almost surely, 214083038 is an apocalyptic number.

14083038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14083038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917200).

14083038 is an abundant number, since it is smaller than the sum of its proper divisors (21751362).

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

14083038 is a wasteful number, since it uses less digits than its factorization.

14083038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14083038 is about 3752.7374008849. The cubic root of 14083038 is about 241.4897954872.

The spelling of 14083038 in words is "fourteen million, eighty-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 23 27 29 34 46 51 54 58 69 87 102 138 153 174 207 261 306 391 414 459 493 522 529 621 667 782 783 918 986 1058 1173 1242 1334 1479 1566 1587 2001 2346 2958 3174 3519 4002 4437 4761 6003 7038 8874 8993 9522 10557 11339 12006 13311 14283 15341 17986 18009 21114 22678 26622 26979 28566 30682 34017 36018 46023 53958 68034 80937 92046 102051 138069 161874 204102 242811 260797 276138 306153 414207 485622 521594 612306 782391 828414 1564782 2347173 4694346 7041519 14083038