Search a number
-
+
14270592 = 27375309
BaseRepresentation
bin110110011100…
…000010000000
3222212000120110
4312130002000
512123124332
61225511320
7232204140
oct66340200
928760513
1014270592
118067786
124942540
132c5864b
141c76920
1513bd4cc
hexd9c080

14270592 has 64 divisors (see below), whose sum is σ = 43329600. Its totient is φ = 4076544.

The previous prime is 14270591. The next prime is 14270611. The reversal of 14270592 is 29507241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14270591) 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, 34 + ... + 5342.

It is an arithmetic number, because the mean of its divisors is an integer number (677025).

Almost surely, 214270592 is an apocalyptic number.

14270592 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 14270592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21664800).

14270592 is an abundant number, since it is smaller than the sum of its proper divisors (29059008).

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

14270592 is an equidigital number, since it uses as much as digits as its factorization.

14270592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 14270592 is about 3777.6437100394. The cubic root of 14270592 is about 242.5571027889.

The spelling of 14270592 in words is "fourteen million, two hundred seventy thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5309 10618 15927 21236 31854 37163 42472 63708 74326 84944 111489 127416 148652 169888 222978 254832 297304 339776 445956 509664 594608 679552 891912 1019328 1189216 1783824 2038656 2378432 3567648 4756864 7135296 14270592