Search a number
-
+
27112704 = 28343821
BaseRepresentation
bin110011101101…
…1010100000000
31220000110122020
41213123110000
523420101304
62405041440
7446311533
oct147332400
956013566
1027112704
11143391a3
1290b6280
135803a28
14385aa1a
1525a85d9
hex19db500

27112704 has 72 divisors (see below), whose sum is σ = 73927392. Its totient is φ = 8816640.

The previous prime is 27112691. The next prime is 27112717. The reversal of 27112704 is 40721172.

It is an interprime number because it is at equal distance from previous prime (27112691) and next prime (27112717).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 32614 + ... + 33434.

Almost surely, 227112704 is an apocalyptic number.

27112704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36963696).

27112704 is an abundant number, since it is smaller than the sum of its proper divisors (46814688).

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

27112704 is an equidigital number, since it uses as much as digits as its factorization.

27112704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 27112704 is about 5206.9860764170. The cubic root of 27112704 is about 300.4168427610.

Adding to 27112704 its reverse (40721172), we get a palindrome (67833876).

The spelling of 27112704 in words is "twenty-seven million, one hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 821 1032 1376 1642 2064 2463 2752 3284 4128 4926 5504 6568 8256 9852 11008 13136 16512 19704 26272 33024 35303 39408 52544 70606 78816 105088 105909 141212 157632 210176 211818 282424 315264 423636 564848 630528 847272 1129696 1694544 2259392 3389088 4518784 6778176 9037568 13556352 27112704