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11139912 = 2332723312
BaseRepresentation
bin101010011111…
…101101001000
3202221222002100
4222133231020
510322434122
61034433400
7163454610
oct52375510
922858070
1011139912
116319643
123892860
132400684
14169da40
15ea0aac
hexa9fb48

11139912 has 144 divisors (see below), whose sum is σ = 37177920. Its totient is φ = 2946240.

The previous prime is 11139901. The next prime is 11139917. The reversal of 11139912 is 21993111.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11139917) 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 35 ways as a sum of consecutive naturals, for example, 359337 + ... + 359367.

It is an arithmetic number, because the mean of its divisors is an integer number (258180).

Almost surely, 211139912 is an apocalyptic number.

11139912 is a gapful number since it is divisible by the number (12) 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 11139912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588960).

11139912 is an abundant number, since it is smaller than the sum of its proper divisors (26038008).

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

11139912 is a wasteful number, since it uses less digits than its factorization.

11139912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The square root of 11139912 is about 3337.6506707563. The cubic root of 11139912 is about 223.3369529871.

It can be divided in two parts, 1113 and 9912, that added together give a square (11025 = 1052).

The spelling of 11139912 in words is "eleven million, one hundred thirty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 31 36 42 46 56 62 63 69 72 84 92 93 124 126 138 161 168 184 186 207 217 248 252 276 279 322 372 414 434 483 504 552 558 644 651 713 744 828 868 961 966 1116 1288 1302 1426 1449 1656 1736 1922 1932 1953 2139 2232 2604 2852 2883 2898 3844 3864 3906 4278 4991 5208 5704 5766 5796 6417 6727 7688 7812 8556 8649 9982 11532 11592 12834 13454 14973 15624 17112 17298 19964 20181 22103 23064 25668 26908 29946 34596 39928 40362 44206 44919 51336 53816 59892 60543 66309 69192 80724 88412 89838 119784 121086 132618 154721 161448 176824 179676 198927 242172 265236 309442 359352 397854 464163 484344 530472 618884 795708 928326 1237768 1392489 1591416 1856652 2784978 3713304 5569956 11139912