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11123712 = 210321771
BaseRepresentation
bin101010011011…
…110000000000
3202221010212100
4222123300000
510321424322
61034230400
7163356435
oct52336000
922833770
1011123712
116308456
123885400
1323c61a2
141697b8c
15e9adac
hexa9bc00

11123712 has 132 divisors (see below), whose sum is σ = 34487856. Its totient is φ = 3440640.

The previous prime is 11123701. The next prime is 11123719. The reversal of 11123712 is 21732111.

It is a happy number.

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 (11123719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156637 + ... + 156707.

Almost surely, 211123712 is an apocalyptic number.

11123712 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 11123712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243928).

11123712 is an abundant number, since it is smaller than the sum of its proper divisors (23364144).

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

11123712 is a wasteful number, since it uses less digits than its factorization.

11123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 11123712 is about 3335.2229310797. Note that the first 3 decimals coincide. The cubic root of 11123712 is about 223.2286393281.

Adding to 11123712 its reverse (21732111), we get a palindrome (32855823).

The spelling of 11123712 in words is "eleven million, one hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 71 72 96 102 128 136 142 144 153 192 204 213 256 272 284 288 306 384 408 426 512 544 568 576 612 639 768 816 852 1024 1088 1136 1152 1207 1224 1278 1536 1632 1704 2176 2272 2304 2414 2448 2556 3072 3264 3408 3621 4352 4544 4608 4828 4896 5112 6528 6816 7242 8704 9088 9216 9656 9792 10224 10863 13056 13632 14484 17408 18176 19312 19584 20448 21726 26112 27264 28968 36352 38624 39168 40896 43452 52224 54528 57936 72704 77248 78336 81792 86904 109056 115872 154496 156672 163584 173808 218112 231744 308992 327168 347616 463488 617984 654336 695232 926976 1235968 1390464 1853952 2780928 3707904 5561856 11123712