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14216364 = 2233139947
BaseRepresentation
bin110110001110…
…110010101100
3222202021012000
4312032302230
512114410424
61224412300
7231560061
oct66166254
928667160
1014216364
11802aa68
124917090
132c39a66
141c60c68
1513ac3c9
hexd8ecac

14216364 has 48 divisors (see below), whose sum is σ = 37161600. Its totient is φ = 4699728.

The previous prime is 14216333. The next prime is 14216387. The reversal of 14216364 is 46361241.

14216364 is a `hidden beast` number, since 1 + 4 + 21 + 636 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 14539 + ... + 15485.

It is an arithmetic number, because the mean of its divisors is an integer number (774200).

Almost surely, 214216364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14216364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580800).

14216364 is an abundant number, since it is smaller than the sum of its proper divisors (22945236).

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

14216364 is a wasteful number, since it uses less digits than its factorization.

14216364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14216364 is about 3770.4593884565. The cubic root of 14216364 is about 242.2494752167.

The spelling of 14216364 in words is "fourteen million, two hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 947 1251 1668 1894 2502 2841 3753 3788 5004 5682 7506 8523 11364 15012 17046 25569 34092 51138 102276 131633 263266 394899 526532 789798 1184697 1579596 2369394 3554091 4738788 7108182 14216364