Search a number
-
+
11072052 = 22363797
BaseRepresentation
bin101010001111…
…001000110100
3202211112000000
4222033020310
510313301202
61033151300
7163053015
oct52171064
922745000
1011072052
116282662
12385b530
1323a8814
14168300c
15e8a91c
hexa8f234

11072052 has 42 divisors (see below), whose sum is σ = 29058498. Its totient is φ = 3689712.

The previous prime is 11072051. The next prime is 11072059. The reversal of 11072052 is 25027011.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 4901796 = 2484^2 + 2214^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11072051) 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 13 ways as a sum of consecutive naturals, for example, 1018 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (691869).

Almost surely, 211072052 is an apocalyptic number.

11072052 is a gapful number since it is divisible by the number (12) 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 11072052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529249).

11072052 is an abundant number, since it is smaller than the sum of its proper divisors (17986446).

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

11072052 is an equidigital number, since it uses as much as digits as its factorization.

11072052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11072052 is about 3327.4693086488. The cubic root of 11072052 is about 222.8825351456.

Adding to 11072052 its reverse (25027011), we get a palindrome (36099063).

The spelling of 11072052 in words is "eleven million, seventy-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3797 7594 11391 15188 22782 34173 45564 68346 102519 136692 205038 307557 410076 615114 922671 1230228 1845342 2768013 3690684 5536026 11072052