Search a number
-
+
27131153 = 722961313
BaseRepresentation
bin110011101111…
…1110100010001
31220001101221112
41213133310101
523421144103
62405303105
7446416400
oct147376421
956041845
1027131153
1114351045
129104a95
13580c24a
143863637
1525adcd8
hex19dfd11

27131153 has 24 divisors (see below), whose sum is σ = 33290280. Its totient is φ = 22014720.

The previous prime is 27131149. The next prime is 27131161. The reversal of 27131153 is 35113172.

It can be written as a sum of positive squares in 4 ways, for example, as 1658944 + 25472209 = 1288^2 + 5047^2 .

It is not a de Polignac number, because 27131153 - 22 = 27131149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27131453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86525 + ... + 86837.

It is an arithmetic number, because the mean of its divisors is an integer number (1387095).

Almost surely, 227131153 is an apocalyptic number.

It is an amenable number.

27131153 is a deficient number, since it is larger than the sum of its proper divisors (6159127).

27131153 is a wasteful number, since it uses less digits than its factorization.

27131153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 27131153 is about 5208.7573374078. The cubic root of 27131153 is about 300.4849674513.

The spelling of 27131153 in words is "twenty-seven million, one hundred thirty-one thousand, one hundred fifty-three".

Divisors: 1 7 29 49 61 203 313 427 1421 1769 2191 2989 9077 12383 15337 19093 63539 86681 133651 444773 553697 935557 3875879 27131153