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11155056 = 2431137571
BaseRepresentation
bin101010100011…
…011001110000
3202222201212020
4222203121300
510323430211
61035031440
7163550013
oct52433160
922881766
1011155056
116329a60
12389b580
132407533
1416a537a
15ea5306
hexaa3670

11155056 has 80 divisors (see below), whose sum is σ = 32343168. Its totient is φ = 3283200.

The previous prime is 11155051. The next prime is 11155061. The reversal of 11155056 is 65055111.

It is an interprime number because it is at equal distance from previous prime (11155051) and next prime (11155061).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155051) 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 15 ways as a sum of consecutive naturals, for example, 19251 + ... + 19821.

Almost surely, 211155056 is an apocalyptic number.

11155056 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 11155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16171584).

11155056 is an abundant number, since it is smaller than the sum of its proper divisors (21188112).

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

11155056 is a wasteful number, since it uses less digits than its factorization.

11155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 11155056 is about 3339.9185618814. The cubic root of 11155056 is about 223.4381112768.

The spelling of 11155056 in words is "eleven million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 571 592 814 888 1142 1221 1628 1713 1776 2284 2442 3256 3426 4568 4884 6281 6512 6852 9136 9768 12562 13704 18843 19536 21127 25124 27408 37686 42254 50248 63381 75372 84508 100496 126762 150744 169016 232397 253524 301488 338032 464794 507048 697191 929588 1014096 1394382 1859176 2788764 3718352 5577528 11155056