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11413224 = 233619103
BaseRepresentation
bin101011100010…
…011011101000
3210110212000000
4223202123220
510410210344
61044343000
7166003464
oct53423350
923425000
1011413224
116495a19
1239a4a60
132497bb4
1417314a4
151006a69
hexae26e8

11413224 has 112 divisors (see below), whose sum is σ = 34101600. Its totient is φ = 3569184.

The previous prime is 11413217. The next prime is 11413253. The reversal of 11413224 is 42231411.

11413224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11413197 and 11413206.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 110757 + ... + 110859.

Almost surely, 211413224 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 11413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050800).

11413224 is an abundant number, since it is smaller than the sum of its proper divisors (22688376).

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

11413224 is a wasteful number, since it uses less digits than its factorization.

11413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

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

The square root of 11413224 is about 3378.3463410373. The cubic root of 11413224 is about 225.1487017019.

Adding to 11413224 its reverse (42231411), we get a palindrome (53644635).

The spelling of 11413224 in words is "eleven million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 103 108 114 152 162 171 206 216 228 243 309 324 342 412 456 486 513 618 648 684 729 824 927 972 1026 1236 1368 1458 1539 1854 1944 1957 2052 2472 2781 2916 3078 3708 3914 4104 4617 5562 5832 5871 6156 7416 7828 8343 9234 11124 11742 12312 13851 15656 16686 17613 18468 22248 23484 25029 27702 33372 35226 36936 46968 50058 52839 55404 66744 70452 75087 100116 105678 110808 140904 150174 158517 200232 211356 300348 317034 422712 475551 600696 634068 951102 1268136 1426653 1902204 2853306 3804408 5706612 11413224