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11121084 = 223313892
BaseRepresentation
bin101010011011…
…000110111100
3202221000021000
4222123012330
510321333314
61034210300
7163345662
oct52330674
922830230
1011121084
116306487
123883990
1323c4c30
141696c32
15e9a209
hexa9b1bc

11121084 has 72 divisors (see below), whose sum is σ = 31403120. Its totient is φ = 3383424.

The previous prime is 11121083. The next prime is 11121139. The reversal of 11121084 is 48012111.

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 (11121083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124912 + ... + 125000.

Almost surely, 211121084 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 11121084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701560).

11121084 is an abundant number, since it is smaller than the sum of its proper divisors (20282036).

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

11121084 is a wasteful number, since it uses less digits than its factorization.

11121084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11121084 is about 3334.8289311447. The cubic root of 11121084 is about 223.2110585341.

Adding to 11121084 its reverse (48012111), we get a palindrome (59133195).

The spelling of 11121084 in words is "eleven million, one hundred twenty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 89 108 117 156 178 234 267 351 356 468 534 702 801 1068 1157 1404 1602 2314 2403 3204 3471 4628 4806 6942 7921 9612 10413 13884 15842 20826 23763 31239 31684 41652 47526 62478 71289 95052 102973 124956 142578 205946 213867 285156 308919 411892 427734 617838 855468 926757 1235676 1853514 2780271 3707028 5560542 11121084