Search a number
-
+
270468 = 223211683
BaseRepresentation
bin1000010000010000100
3111202000100
41002002010
532123333
65444100
72204352
oct1020204
9452010
10270468
11175230
12110630
1396153
14707d2
1555213
hex42084

270468 has 36 divisors (see below), whose sum is σ = 746928. Its totient is φ = 81840.

The previous prime is 270463. The next prime is 270493. The reversal of 270468 is 864072.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (270461) by changing a digit.

270468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2270468 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 270468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

270468 is an abundant number, since it is smaller than the sum of its proper divisors (476460).

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

270468 is a wasteful number, since it uses less digits than its factorization.

270468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 270468 is about 520.0653805052. The cubic root of 270468 is about 64.6703626801.

It can be divided in two parts, 2704 and 68, that added together give a palindrome (2772).

The spelling of 270468 in words is "two hundred seventy thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 683 1366 2049 2732 4098 6147 7513 8196 12294 15026 22539 24588 30052 45078 67617 90156 135234 270468