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11243124 = 223543269
BaseRepresentation
bin101010111000…
…111001110100
3210011012200000
4222320321310
510334234444
61040551300
7164364534
oct52707164
923135600
1011243124
11638a142
123922530
132438649
1416c94c4
15ec1469
hexab8e74

11243124 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3646944.

The previous prime is 11243119. The next prime is 11243131. The reversal of 11243124 is 42134211.

11243124 = T144 + T145 + ... + T412.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11243097 and 11243106.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41662 + ... + 41930.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 211243124 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 11243124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

11243124 is an abundant number, since it is smaller than the sum of its proper divisors (19027116).

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

11243124 is a wasteful number, since it uses less digits than its factorization.

11243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11243124 is about 3353.0767960188. The cubic root of 11243124 is about 224.0245774478.

Adding to 11243124 its reverse (42134211), we get a palindrome (53377335).

The spelling of 11243124 in words is "eleven million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 269 324 387 486 516 538 774 807 972 1076 1161 1548 1614 2322 2421 3228 3483 4644 4842 6966 7263 9684 10449 11567 13932 14526 20898 21789 23134 29052 34701 41796 43578 46268 65367 69402 87156 104103 130734 138804 208206 261468 312309 416412 624618 936927 1249236 1873854 2810781 3747708 5621562 11243124