Search a number
-
+
11300536 = 2313193563
BaseRepresentation
bin101011000110…
…111010111000
3210021010102101
4223012322320
510343104121
61042113144
7165024112
oct53067270
923233371
1011300536
116419295
12394b7b4
132458810
1417023b2
15ed3491
hexac6eb8

11300536 has 32 divisors (see below), whose sum is σ = 22977360. Its totient is φ = 5179392.

The previous prime is 11300507. The next prime is 11300537. The reversal of 11300536 is 63500311.

It is a super-2 number, since 2×113005362 = 255404227774592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19791 + ... + 20353.

Almost surely, 211300536 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 11300536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488680).

11300536 is an abundant number, since it is smaller than the sum of its proper divisors (11676824).

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

11300536 is a wasteful number, since it uses less digits than its factorization.

11300536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 11300536 is about 3361.6269870407. The cubic root of 11300536 is about 224.4052506654.

Adding to 11300536 its reverse (63500311), we get a palindrome (74800847).

The spelling of 11300536 in words is "eleven million, three hundred thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 193 386 563 772 1126 1544 2252 2509 4504 5018 7319 10036 14638 20072 29276 58552 108659 217318 434636 869272 1412567 2825134 5650268 11300536