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14131072 = 27532083
BaseRepresentation
bin110101111001…
…111110000000
3222120221012001
4311321332000
512104143242
61222513344
7231053314
oct65717600
928527161
1014131072
117a8197a
124895854
132c09ca7
141c3bb44
151391eb7
hexd79f80

14131072 has 32 divisors (see below), whose sum is σ = 28696680. Its totient is φ = 6928896.

The previous prime is 14131043. The next prime is 14131081. The reversal of 14131072 is 27013141.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 5743 + ... + 7825.

Almost surely, 214131072 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 14131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348340).

14131072 is an abundant number, since it is smaller than the sum of its proper divisors (14565608).

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

14131072 is an equidigital number, since it uses as much as digits as its factorization.

14131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 14131072 is about 3759.1318146615. The cubic root of 14131072 is about 241.7640392921.

It can be divided in two parts, 1413 and 1072, that added together give a triangular number (2485 = T70).

The spelling of 14131072 in words is "fourteen million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 2083 3392 4166 6784 8332 16664 33328 66656 110399 133312 220798 266624 441596 883192 1766384 3532768 7065536 14131072