Search a number
-
+
27104376 = 23313109797
BaseRepresentation
bin110011101100…
…1010001111000
31220000001012210
41213121101320
523414320001
62404535120
7446245335
oct147312170
956001183
1027104376
1114332a12
1290b14a0
1357cccc0
14385798c
1525a5dd6
hex19d9478

27104376 has 64 divisors (see below), whose sum is σ = 73735200. Its totient is φ = 8252928.

The previous prime is 27104351. The next prime is 27104377. The reversal of 27104376 is 67340172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27104377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33610 + ... + 34406.

Almost surely, 227104376 is an apocalyptic number.

27104376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27104376 is the 4251-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27104376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36867600).

27104376 is an abundant number, since it is smaller than the sum of its proper divisors (46630824).

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

27104376 is a wasteful number, since it uses less digits than its factorization.

27104376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 27104376 is about 5206.1863201388. The cubic root of 27104376 is about 300.3860807036.

The spelling of 27104376 in words is "twenty-seven million, one hundred four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 654 797 872 1308 1417 1594 2391 2616 2834 3188 4251 4782 5668 6376 8502 9564 10361 11336 17004 19128 20722 31083 34008 41444 62166 82888 86873 124332 173746 248664 260619 347492 521238 694984 1042476 1129349 2084952 2258698 3388047 4517396 6776094 9034792 13552188 27104376