Search a number
-
+
27456080 = 2453111071
BaseRepresentation
bin110100010111…
…1001001010000
31220122220122212
41220233021100
524012043310
62420251252
7452241611
oct150571120
956586585
1027456080
1114553183
129240b28
1358c4102
143909c08
152625205
hex1a2f250

27456080 has 40 divisors (see below), whose sum is σ = 65900544. Its totient is φ = 10627200.

The previous prime is 27456073. The next prime is 27456167. The reversal of 27456080 is 8065472.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 3056 + ... + 8015.

Almost surely, 227456080 is an apocalyptic number.

27456080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27456080 is an abundant number, since it is smaller than the sum of its proper divisors (38444464).

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

27456080 is a wasteful number, since it uses less digits than its factorization.

27456080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 27456080 is about 5239.8549598247. The cubic root of 27456080 is about 301.6797622932.

The spelling of 27456080 in words is "twenty-seven million, four hundred fifty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 11071 22142 44284 55355 88568 110710 177136 221420 343201 442840 686402 885680 1372804 1716005 2745608 3432010 5491216 6864020 13728040 27456080