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14200074 = 2327251449
BaseRepresentation
bin110110001010…
…110100001010
3222201102211200
4312022310022
512113400244
61224205030
7231461430
oct66126412
928642750
1014200074
1180197a9
124909776
132c32515
141c58d50
1513a7669
hexd8ad0a

14200074 has 48 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4032000.

The previous prime is 14200057. The next prime is 14200079. The reversal of 14200074 is 47000241.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14200079) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31402 + ... + 31850.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 214200074 is an apocalyptic number.

14200074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14200074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

14200074 is an abundant number, since it is smaller than the sum of its proper divisors (21180726).

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

14200074 is a wasteful number, since it uses less digits than its factorization.

14200074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14200074 is about 3768.2985550511. The cubic root of 14200074 is about 242.1569116471.

The spelling of 14200074 in words is "fourteen million, two hundred thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 449 502 753 898 1347 1506 1757 2259 2694 3143 3514 4041 4518 5271 6286 8082 9429 10542 15813 18858 28287 31626 56574 112699 225398 338097 676194 788893 1014291 1577786 2028582 2366679 4733358 7100037 14200074