Search a number
-
+
11236000 = 2553532
BaseRepresentation
bin101010110111…
…001010100000
3210010211220011
4222313022200
510334023000
61040454304
7164335006
oct52671240
923124804
1011236000
116384856
12391a394
132435329
1416c6a76
15ebe2ba
hexab72a0

11236000 has 72 divisors (see below), whose sum is σ = 28137564. Its totient is φ = 4409600.

The previous prime is 11235989. The next prime is 11236003. The reversal of 11236000 is 63211.

Adding to 11236000 its reverse (63211), we get a palindrome (11299211).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1774224 + 9461776 = 1332^2 + 3076^2 .

It is not an unprimeable number, because it can be changed into a prime (11236003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211974 + ... + 212026.

Almost surely, 211236000 is an apocalyptic number.

11236000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14068782).

11236000 is an abundant number, since it is smaller than the sum of its proper divisors (16901564).

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

11236000 is an frugal number, since it uses more digits than its factorization.

11236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11236000 is about 3352.0143197785. The cubic root of 11236000 is about 223.9772510911.

The spelling of 11236000 in words is "eleven million, two hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 800 848 1000 1060 1325 1696 2000 2120 2650 2809 4000 4240 5300 5618 6625 8480 10600 11236 13250 14045 21200 22472 26500 28090 42400 44944 53000 56180 70225 89888 106000 112360 140450 212000 224720 280900 351125 449440 561800 702250 1123600 1404500 2247200 2809000 5618000 11236000