Search a number
-
+
11030144 = 271737137
BaseRepresentation
bin101010000100…
…111010000000
3202202101111212
4222010322000
510310431034
61032225252
7162516566
oct52047200
922671455
1011030144
116254124
12383b228
132392718
141671a36
15e7d2ce
hexa84e80

11030144 has 64 divisors (see below), whose sum is σ = 24069960. Its totient is φ = 5013504.

The previous prime is 11030137. The next prime is 11030171. The reversal of 11030144 is 44103011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11022400 + 7744 = 3320^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80444 + ... + 80580.

Almost surely, 211030144 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 11030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034980).

11030144 is an abundant number, since it is smaller than the sum of its proper divisors (13039816).

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

11030144 is a wasteful number, since it uses less digits than its factorization.

11030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11030144 is about 3321.1660602867. The cubic root of 11030144 is about 222.6009742425.

Adding to 11030144 its reverse (44103011), we get a palindrome (55133155).

The spelling of 11030144 in words is "eleven million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 137 148 272 274 296 544 548 592 629 1088 1096 1184 1258 2176 2192 2329 2368 2516 4384 4658 4736 5032 5069 8768 9316 10064 10138 17536 18632 20128 20276 37264 40256 40552 74528 80512 81104 86173 149056 162208 172346 298112 324416 344692 648832 689384 1378768 2757536 5515072 11030144