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11163936 = 253737449
BaseRepresentation
bin101010100101…
…100100100000
3210000012001010
4222211210200
510324221221
61035140520
7163614630
oct52454440
923005033
1011163936
1163356a3
1238a4740
13240b5a4
1416a86c0
15ea7c76
hexaa5920

11163936 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3096576.

The previous prime is 11163907. The next prime is 11163949. The reversal of 11163936 is 63936111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24640 + ... + 25088.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 211163936 is an apocalyptic number.

11163936 is a gapful number since it is divisible by the number (16) 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 11163936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

11163936 is an abundant number, since it is smaller than the sum of its proper divisors (23309664).

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

11163936 is a wasteful number, since it uses less digits than its factorization.

11163936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 11163936 is about 3341.2476711552. The cubic root of 11163936 is about 223.4973849721.

It can be divided in two parts, 111 and 63936, that multiplied together give a square (7096896 = 26642).

The spelling of 11163936 in words is "eleven million, one hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 449 518 592 672 777 888 898 1036 1184 1347 1554 1776 1796 2072 2694 3108 3143 3552 3592 4144 5388 6216 6286 7184 8288 9429 10776 12432 12572 14368 16613 18858 21552 24864 25144 33226 37716 43104 49839 50288 66452 75432 99678 100576 116291 132904 150864 199356 232582 265808 301728 348873 398712 465164 531616 697746 797424 930328 1395492 1594848 1860656 2790984 3721312 5581968 11163936