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11145472 = 281317197
BaseRepresentation
bin101010100001…
…000100000000
3202222020201021
4222201010000
510323123342
61034515224
7163510042
oct52410400
922866637
1011145472
116322838
123895b14
132403070
1416a1a92
15ea2567
hexaa1100

11145472 has 72 divisors (see below), whose sum is σ = 25496856. Its totient is φ = 4816896.

The previous prime is 11145469. The next prime is 11145487. The reversal of 11145472 is 27454111.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 6885376 = 2064^2 + 2624^2 .

It is a super-2 number, since 2×111454722 = 248443092205568, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

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, 56478 + ... + 56674.

It is an arithmetic number, because the mean of its divisors is an integer number (354123).

Almost surely, 211145472 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 11145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748428).

11145472 is an abundant number, since it is smaller than the sum of its proper divisors (14351384).

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

11145472 is a wasteful number, since it uses less digits than its factorization.

11145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 11145472 is about 3338.4834880526. The cubic root of 11145472 is about 223.3741030988.

Adding to 11145472 its reverse (27454111), we get a palindrome (38599583).

The spelling of 11145472 in words is "eleven million, one hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 197 208 221 256 272 394 416 442 544 788 832 884 1088 1576 1664 1768 2176 2561 3152 3328 3349 3536 4352 5122 6304 6698 7072 10244 12608 13396 14144 20488 25216 26792 28288 40976 43537 50432 53584 56576 81952 87074 107168 163904 174148 214336 327808 348296 428672 655616 696592 857344 1393184 2786368 5572736 11145472