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11107712 = 27731123
BaseRepresentation
bin101010010111…
…110110000000
3202220022220202
4222113312000
510320421322
61034024332
7163262000
oct52276600
922808822
1011107712
1162a7430
1238780a8
1323bbb15
141692000
15e96292
hexa97d80

11107712 has 128 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 4139520.

The previous prime is 11107709. The next prime is 11107727. The reversal of 11107712 is 21770111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 482933 + ... + 482955.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 211107712 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 11107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

11107712 is an abundant number, since it is smaller than the sum of its proper divisors (18268288).

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

11107712 is an equidigital number, since it uses as much as digits as its factorization.

11107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 20.

The square root of 11107712 is about 3332.8234276661. The cubic root of 11107712 is about 223.1215596035.

Adding to 11107712 its reverse (21770111), we get a palindrome (32877823).

The spelling of 11107712 in words is "eleven million, one hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 64 77 88 92 98 112 128 154 161 176 184 196 224 253 308 322 343 352 368 392 448 506 539 616 644 686 704 736 784 896 1012 1078 1127 1232 1288 1372 1408 1472 1568 1771 2024 2156 2254 2464 2576 2744 2944 3136 3542 3773 4048 4312 4508 4928 5152 5488 6272 7084 7546 7889 8096 8624 9016 9856 10304 10976 12397 14168 15092 15778 16192 17248 18032 20608 21952 24794 28336 30184 31556 32384 34496 36064 43904 49588 56672 60368 63112 68992 72128 86779 99176 113344 120736 126224 144256 173558 198352 226688 241472 252448 347116 396704 482944 504896 694232 793408 1009792 1388464 1586816 2776928 5553856 11107712