[go: up one dir, main page]

Search a number
-
+
11001132 = 2232674561
BaseRepresentation
bin101001111101…
…110100101100
3202200220201100
4221331310230
510304014012
61031443100
7162336162
oct51756454
922626640
1011001132
11623434a
123826490
13238245c
141665232
15e748dc
hexa7dd2c

11001132 has 36 divisors (see below), whose sum is σ = 28229656. Its totient is φ = 3611520.

The previous prime is 11001131. The next prime is 11001139. The reversal of 11001132 is 23110011.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11001131) 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, 132 + ... + 4692.

Almost surely, 211001132 is an apocalyptic number.

11001132 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 11001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114828).

11001132 is an abundant number, since it is smaller than the sum of its proper divisors (17228524).

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

11001132 is a wasteful number, since it uses less digits than its factorization.

11001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11001132 is about 3316.7954413862. The cubic root of 11001132 is about 222.4056377209.

Adding to 11001132 its reverse (23110011), we get a palindrome (34111143).

The spelling of 11001132 in words is "eleven million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4561 9122 13683 18244 27366 41049 54732 82098 164196 305587 611174 916761 1222348 1833522 2750283 3667044 5500566 11001132