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11196032 = 27233803
BaseRepresentation
bin101010101101…
…011010000000
3210001211001212
4222231122000
510331233112
61035545252
7164110331
oct52553200
923054055
1011196032
116357821
1238bb228
132420093
1416b6288
15eb2522
hexaad680

11196032 has 32 divisors (see below), whose sum is σ = 23280480. Its totient is φ = 5353216.

The previous prime is 11196023. The next prime is 11196037. The reversal of 11196032 is 23069111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×111960322 = 250702265090048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 11195989 and 11196007.

It is not an unprimeable number, because it can be changed into a prime (11196037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1043 + ... + 4845.

It is an arithmetic number, because the mean of its divisors is an integer number (727515).

Almost surely, 211196032 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 11196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640240).

11196032 is an abundant number, since it is smaller than the sum of its proper divisors (12084448).

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

11196032 is an equidigital number, since it uses as much as digits as its factorization.

11196032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 11196032 is about 3346.0472202287. The cubic root of 11196032 is about 223.7113629279.

The spelling of 11196032 in words is "eleven million, one hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 3803 7606 15212 30424 60848 87469 121696 174938 243392 349876 486784 699752 1399504 2799008 5598016 11196032