[go: up one dir, main page]

Search a number
-
+
27119712 = 2531012797
BaseRepresentation
bin110011101110…
…1000001100000
31220000211020210
41213131001200
523420312322
62405134120
7446341134
oct147350140
956024223
1027119712
1114343494
1290ba340
135806c89
14385d3c4
1525aa70c
hex19dd060

27119712 has 48 divisors (see below), whose sum is σ = 71919792. Its totient is φ = 8947200.

The previous prime is 27119693. The next prime is 27119723. The reversal of 27119712 is 21791172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27119712.

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, 8298 + ... + 11094.

It is an arithmetic number, because the mean of its divisors is an integer number (1498329).

Almost surely, 227119712 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 27119712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35959896).

27119712 is an abundant number, since it is smaller than the sum of its proper divisors (44800080).

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

27119712 is a wasteful number, since it uses less digits than its factorization.

27119712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2903 counting only the distinct ones).

The product of its digits is 1764, while the sum is 30.

The square root of 27119712 is about 5207.6589750098. The cubic root of 27119712 is about 300.4427241076.

The spelling of 27119712 in words is "twenty-seven million, one hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 2797 3232 4848 5594 8391 9696 11188 16782 22376 33564 44752 67128 89504 134256 268512 282497 564994 847491 1129988 1694982 2259976 3389964 4519952 6779928 9039904 13559856 27119712