Search a number
-
+
11001912 = 23319231049
BaseRepresentation
bin101001111110…
…000000111000
3202200221210020
4221332000320
510304030122
61031450440
7162341355
oct51760070
922627706
1011001912
116234999
123826a20
13238290c
14166562c
15e74c5c
hexa7e038

11001912 has 64 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3320064.

The previous prime is 11001911. The next prime is 11001919. The reversal of 11001912 is 21910011.

It is a junction number, because it is equal to n+sod(n) for n = 11001891 and 11001900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001911) 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, 9964 + ... + 11012.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 211001912 is an apocalyptic number.

11001912 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 11001912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

11001912 is an abundant number, since it is smaller than the sum of its proper divisors (19238088).

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

11001912 is a wasteful number, since it uses less digits than its factorization.

11001912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 11001912 is about 3316.9130226764. The cubic root of 11001912 is about 222.4108939163.

Adding to 11001912 its reverse (21910011), we get a palindrome (32911923).

The spelling of 11001912 in words is "eleven million, one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1049 1311 1748 2098 2622 3147 3496 4196 5244 6294 8392 10488 12588 19931 24127 25176 39862 48254 59793 72381 79724 96508 119586 144762 159448 193016 239172 289524 458413 478344 579048 916826 1375239 1833652 2750478 3667304 5500956 11001912