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27099108 = 223229101257
BaseRepresentation
bin110011101011…
…1111111100100
31212222202222200
41213113333210
523414132413
62404454500
7446224101
oct147277744
955882880
1027099108
1114329a63
1290aa430
1357ca79a
143855aa8
1525a4573
hex19d7fe4

27099108 has 72 divisors (see below), whose sum is σ = 71842680. Its totient is φ = 8601600.

The previous prime is 27099101. The next prime is 27099109. The reversal of 27099108 is 80199072.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19873764 + 7225344 = 4458^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27099101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105316 + ... + 105572.

It is an arithmetic number, because the mean of its divisors is an integer number (997815).

Almost surely, 227099108 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 27099108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35921340).

27099108 is an abundant number, since it is smaller than the sum of its proper divisors (44743572).

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

27099108 is a wasteful number, since it uses less digits than its factorization.

27099108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 27099108 is about 5205.6803589925. The cubic root of 27099108 is about 300.3666184539.

Subtracting from 27099108 its sum of digits (36), we obtain a palindrome (27099072).

The spelling of 27099108 in words is "twenty-seven million, ninety-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 202 257 261 303 348 404 514 522 606 771 909 1028 1044 1212 1542 1818 2313 2929 3084 3636 4626 5858 7453 8787 9252 11716 14906 17574 22359 25957 26361 29812 35148 44718 51914 52722 67077 77871 89436 103828 105444 134154 155742 233613 268308 311484 467226 752753 934452 1505506 2258259 3011012 4516518 6774777 9033036 13549554 27099108