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14209936 = 2413531289
BaseRepresentation
bin110110001101…
…001110010000
3222201221100221
4312031032100
512114204221
61224322424
7231532246
oct66151620
928657327
1014209936
118026154
124913414
132c36b60
141c5c796
1513aa541
hexd8d390

14209936 has 40 divisors (see below), whose sum is σ = 30232440. Its totient is φ = 6429696.

The previous prime is 14209931. The next prime is 14209939. The reversal of 14209936 is 63990241.

It can be written as a sum of positive squares in 4 ways, for example, as 3027600 + 11182336 = 1740^2 + 3344^2 .

It is a super-2 number, since 2×142099362 = 403844562248192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14209931) 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 7 ways as a sum of consecutive naturals, for example, 10380 + ... + 11668.

It is an arithmetic number, because the mean of its divisors is an integer number (755811).

Almost surely, 214209936 is an apocalyptic number.

14209936 is a gapful number since it is divisible by the number (16) 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 14209936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116220).

14209936 is an abundant number, since it is smaller than the sum of its proper divisors (16022504).

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

14209936 is a wasteful number, since it uses less digits than its factorization.

14209936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 14209936 is about 3769.6068760548. The cubic root of 14209936 is about 242.2129582756.

The spelling of 14209936 in words is "fourteen million, two hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1289 1378 2578 2756 5156 5512 10312 11024 16757 20624 33514 67028 68317 134056 136634 268112 273268 546536 888121 1093072 1776242 3552484 7104968 14209936