Search a number
-
+
27141318 = 234239701
BaseRepresentation
bin110011110001…
…0010011000110
31220001220220000
41213202103012
523422010233
62405422130
7446461131
oct147422306
956056800
1027141318
1114358746
12910a946
135813a69
143867218
1525b1d13
hex19e24c6

27141318 has 40 divisors (see below), whose sum is σ = 61158240. Its totient is φ = 8996400.

The previous prime is 27141307. The next prime is 27141347. The reversal of 27141318 is 81314172.

It is a super-2 number, since 2×271413182 = 1473302285554248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 27141291 and 27141300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38368 + ... + 39068.

It is an arithmetic number, because the mean of its divisors is an integer number (1528956).

Almost surely, 227141318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27141318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579120).

27141318 is an abundant number, since it is smaller than the sum of its proper divisors (34016922).

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

27141318 is a wasteful number, since it uses less digits than its factorization.

27141318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 945 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 27141318 is about 5209.7330065945. The cubic root of 27141318 is about 300.5224894875.

The spelling of 27141318 in words is "twenty-seven million, one hundred forty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 478 701 717 1402 1434 2103 2151 4206 4302 6309 6453 12618 12906 18927 19359 37854 38718 56781 113562 167539 335078 502617 1005234 1507851 3015702 4523553 9047106 13570659 27141318