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11331252 = 223441853
BaseRepresentation
bin101011001110…
…011010110100
3210022200120000
4223032122310
510400100002
61042511300
7165212502
oct53163264
923280500
1011331252
11643a379
123965530
1324697aa
14170d672
15edc61c
hexace6b4

11331252 has 60 divisors (see below), whose sum is σ = 30380196. Its totient is φ = 3680640.

The previous prime is 11331251. The next prime is 11331263. The reversal of 11331252 is 25213311.

It can be written as a sum of positive squares in 2 ways, for example, as 599076 + 10732176 = 774^2 + 3276^2 .

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 (11331251) 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 19 ways as a sum of consecutive naturals, for example, 12858 + ... + 13710.

Almost surely, 211331252 is an apocalyptic number.

11331252 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 11331252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190098).

11331252 is an abundant number, since it is smaller than the sum of its proper divisors (19048944).

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

11331252 is a wasteful number, since it uses less digits than its factorization.

11331252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11331252 is about 3366.1925078640. The cubic root of 11331252 is about 224.6083854534.

Adding to 11331252 its reverse (25213311), we get a palindrome (36544563).

The spelling of 11331252 in words is "eleven million, three hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 853 1107 1476 1706 2214 2559 3321 3412 4428 5118 6642 7677 10236 13284 15354 23031 30708 34973 46062 69093 69946 92124 104919 138186 139892 209838 276372 314757 419676 629514 944271 1259028 1888542 2832813 3777084 5665626 11331252