Search a number
-
+
11407104 = 28324951
BaseRepresentation
bin101011100000…
…111100000000
3210110112121100
4223200330000
510410011404
61044254400
7165646602
oct53407400
923415540
1011407104
116491365
1239a1400
132495187
14172d172
151004d39
hexae0f00

11407104 has 54 divisors (see below), whose sum is σ = 32896136. Its totient is φ = 3801600.

The previous prime is 11407091. The next prime is 11407111. The reversal of 11407104 is 40170411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172 + ... + 4779.

Almost surely, 211407104 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 11407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448068).

11407104 is an abundant number, since it is smaller than the sum of its proper divisors (21489032).

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

11407104 is an equidigital number, since it uses as much as digits as its factorization.

11407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11407104 is about 3377.4404509924. The cubic root of 11407104 is about 225.1084514210.

Adding to 11407104 its reverse (40170411), we get a palindrome (51577515).

It can be divided in two parts, 11407 and 104, that added together give a palindrome (11511).

The spelling of 11407104 in words is "eleven million, four hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4951 9902 14853 19804 29706 39608 44559 59412 79216 89118 118824 158432 178236 237648 316864 356472 475296 633728 712944 950592 1267456 1425888 1901184 2851776 3802368 5703552 11407104