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11203104 = 253111032
BaseRepresentation
bin101010101111…
…001000100000
3210002011202210
4222233020200
510331444404
61040042120
7164140053
oct52571040
923064683
1011203104
116362070
123903340
132423373
1416b8a9a
15eb4689
hexaaf220

11203104 has 72 divisors (see below), whose sum is σ = 32396112. Its totient is φ = 3361920.

The previous prime is 11203081. The next prime is 11203109. The reversal of 11203104 is 40130211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11203104.

It is not an unprimeable number, because it can be changed into a prime (11203109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108717 + ... + 108819.

It is an arithmetic number, because the mean of its divisors is an integer number (449946).

Almost surely, 211203104 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 11203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198056).

11203104 is an abundant number, since it is smaller than the sum of its proper divisors (21193008).

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

11203104 is a wasteful number, since it uses less digits than its factorization.

11203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11203104 is about 3347.1038227100. The cubic root of 11203104 is about 223.7584556171.

Adding to 11203104 its reverse (40130211), we get a palindrome (51333315).

It can be divided in two parts, 1120 and 3104, that added together give a palindrome (4224).

The spelling of 11203104 in words is "eleven million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 824 1056 1133 1236 1648 2266 2472 3296 3399 4532 4944 6798 9064 9888 10609 13596 18128 21218 27192 31827 36256 42436 54384 63654 84872 108768 116699 127308 169744 233398 254616 339488 350097 466796 509232 700194 933592 1018464 1400388 1867184 2800776 3734368 5601552 11203104