Search a number
-
+
27271134 = 23311311481
BaseRepresentation
bin110100000000…
…1111111011110
31220022111222000
41220001333132
523440134014
62412303130
7450541452
oct150017736
956274860
1027271134
1114437230
129171aa6
13585ab87
14389c662
1525da509
hex1a01fde

27271134 has 64 divisors (see below), whose sum is σ = 68290560. Its totient is φ = 7992000.

The previous prime is 27271133. The next prime is 27271141. The reversal of 27271134 is 43117272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27271098 and 27271107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27271133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17674 + ... + 19154.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 227271134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27271134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34145280).

27271134 is an abundant number, since it is smaller than the sum of its proper divisors (41019426).

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

27271134 is a wasteful number, since it uses less digits than its factorization.

27271134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 27271134 is about 5222.1771321930. The cubic root of 27271134 is about 301.0008572361. Note that the first 3 decimals are identical.

The spelling of 27271134 in words is "twenty-seven million, two hundred seventy-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1481 1674 2046 2962 3069 4443 6138 8886 9207 13329 16291 18414 26658 32582 39987 45911 48873 79974 91822 97746 137733 146619 275466 293238 413199 439857 505021 826398 879714 1010042 1239597 1515063 2479194 3030126 4545189 9090378 13635567 27271134