Search a number
-
+
11155936 = 251141773
BaseRepresentation
bin101010100011…
…100111100000
3202222210001211
4222203213200
510323442221
61035035504
7163552411
oct52434740
922883054
1011155936
11632a690
12389bb94
132407a5c
1416a5808
15ea56e1
hexaa39e0

11155936 has 48 divisors (see below), whose sum is σ = 24576048. Its totient is φ = 4940800.

The previous prime is 11155931. The next prime is 11155951. The reversal of 11155936 is 63955111.

It is a junction number, because it is equal to n+sod(n) for n = 11155898 and 11155907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155931) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14046 + ... + 14818.

It is an arithmetic number, because the mean of its divisors is an integer number (512001).

Almost surely, 211155936 is an apocalyptic number.

11155936 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 11155936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288024).

11155936 is an abundant number, since it is smaller than the sum of its proper divisors (13420112).

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

11155936 is a wasteful number, since it uses less digits than its factorization.

11155936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its digits is 4050, while the sum is 31.

The square root of 11155936 is about 3340.0502990225. The cubic root of 11155936 is about 223.4439866505.

The spelling of 11155936 in words is "eleven million, one hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 773 902 1312 1546 1804 3092 3608 6184 7216 8503 12368 14432 17006 24736 31693 34012 63386 68024 126772 136048 253544 272096 348623 507088 697246 1014176 1394492 2788984 5577968 11155936