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14211072 = 21133257
BaseRepresentation
bin110110001101…
…100000000000
3222201222221000
4312031200000
512114223242
61224332000
7231535461
oct66154000
928658830
1014211072
118026a97
124914000
132c37525
141c5cd68
1513aaa4c
hexd8d800

14211072 has 96 divisors (see below), whose sum is σ = 42260400. Its totient is φ = 4718592.

The previous prime is 14211059. The next prime is 14211077. The reversal of 14211072 is 27011241.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55168 + ... + 55424.

Almost surely, 214211072 is an apocalyptic number.

14211072 is a gapful number since it is divisible by the number (12) 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 14211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21130200).

14211072 is an abundant number, since it is smaller than the sum of its proper divisors (28049328).

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

14211072 is an equidigital number, since it uses as much as digits as its factorization.

14211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 14211072 is about 3769.7575518858. The cubic root of 14211072 is about 242.2194125995.

The spelling of 14211072 in words is "fourteen million, two hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 257 288 384 432 512 514 576 768 771 864 1024 1028 1152 1536 1542 1728 2048 2056 2304 2313 3072 3084 3456 4112 4608 4626 6144 6168 6912 6939 8224 9216 9252 12336 13824 13878 16448 18432 18504 24672 27648 27756 32896 37008 49344 55296 55512 65792 74016 98688 111024 131584 148032 197376 222048 263168 296064 394752 444096 526336 592128 789504 888192 1184256 1579008 1776384 2368512 3552768 4737024 7105536 14211072