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11412252 = 223559199
BaseRepresentation
bin101011100010…
…001100011100
3210110210200000
4223202030130
510410143002
61044334300
7166000605
oct53421434
923423600
1011412252
116495215
1239a4390
132497617
141730dac
15100661c
hexae231c

11412252 has 72 divisors (see below), whose sum is σ = 30576000. Its totient is φ = 3720816.

The previous prime is 11412239. The next prime is 11412257. The reversal of 11412252 is 25221411.

11412252 is a `hidden beast` number, since 1 + 1 + 412 + 252 = 666.

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 (11412257) 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 23 ways as a sum of consecutive naturals, for example, 57249 + ... + 57447.

Almost surely, 211412252 is an apocalyptic number.

11412252 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 11412252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288000).

11412252 is an abundant number, since it is smaller than the sum of its proper divisors (19163748).

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

11412252 is a wasteful number, since it uses less digits than its factorization.

11412252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 11412252 is about 3378.2024806101. The cubic root of 11412252 is about 225.1423099716.

Adding to 11412252 its reverse (25221411), we get a palindrome (36633663).

It can be divided in two parts, 11412 and 252, that added together give a square (11664 = 1082).

The spelling of 11412252 in words is "eleven million, four hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 199 236 243 324 354 398 486 531 597 708 796 972 1062 1194 1593 1791 2124 2388 3186 3582 4779 5373 6372 7164 9558 10746 11741 14337 16119 19116 21492 23482 28674 32238 35223 46964 48357 57348 64476 70446 96714 105669 140892 193428 211338 317007 422676 634014 951021 1268028 1902042 2853063 3804084 5706126 11412252