Search a number
-
+
11000392 = 2313192293
BaseRepresentation
bin101001111101…
…101001001000
3202200212200221
4221331221020
510304003032
61031435424
7162334054
oct51755110
922625627
1011000392
116233837
123825b74
132382010
141664c64
15e74597
hexa7da48

11000392 has 48 divisors (see below), whose sum is σ = 23522940. Its totient is φ = 4793472.

The previous prime is 11000387. The next prime is 11000393. The reversal of 11000392 is 29300011.

11000392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10929636 + 70756 = 3306^2 + 266^2 .

It is not an unprimeable number, because it can be changed into a prime (11000393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37398 + ... + 37690.

Almost surely, 211000392 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 11000392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761470).

11000392 is an abundant number, since it is smaller than the sum of its proper divisors (12522548).

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

11000392 is a wasteful number, since it uses less digits than its factorization.

11000392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 11000392 is about 3316.6838860525. The cubic root of 11000392 is about 222.4006508443.

The spelling of 11000392 in words is "eleven million, three hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 293 361 494 586 722 988 1172 1444 1976 2344 2888 3809 4693 5567 7618 9386 11134 15236 18772 22268 30472 37544 44536 72371 105773 144742 211546 289484 423092 578968 846184 1375049 2750098 5500196 11000392