Search a number
-
+
14398272 = 263273571
BaseRepresentation
bin110110111011…
…001101000000
31000002111201100
4312323031000
512141221042
61232334400
7233245320
oct66731500
930074640
1014398272
1181446a9
1249a4400
132ca17b5
141cab280
1513e624c
hexdbb340

14398272 has 84 divisors (see below), whose sum is σ = 47178976. Its totient is φ = 4112640.

The previous prime is 14398243. The next prime is 14398277. The reversal of 14398272 is 27289341.

14398272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14398277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2247 + ... + 5817.

Almost surely, 214398272 is an apocalyptic number.

14398272 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 14398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23589488).

14398272 is an abundant number, since it is smaller than the sum of its proper divisors (32780704).

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

14398272 is a wasteful number, since it uses less digits than its factorization.

14398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3583 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14398272 is about 3794.5055013796. The cubic root of 14398272 is about 243.2783479105.

The spelling of 14398272 in words is "fourteen million, three hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3571 4032 7142 10713 14284 21426 24997 28568 32139 42852 49994 57136 64278 74991 85704 99988 114272 128556 149982 171408 199976 224973 228544 257112 299964 342816 399952 449946 514224 599928 685632 799904 899892 1028448 1199856 1599808 1799784 2056896 2399712 3599568 4799424 7199136 14398272