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10991232 = 273272947
BaseRepresentation
bin101001111011…
…011010000000
3202200102010200
4221323122000
510303204412
61031325200
7162265260
oct51733200
922612120
1010991232
11622796a
123820800
13237aab5
1416617a0
15e719dc
hexa7b680

10991232 has 192 divisors, whose sum is σ = 38188800. Its totient is φ = 2967552.

The previous prime is 10991219. The next prime is 10991237. The reversal of 10991232 is 23219901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10991196 and 10991205.

It is not an unprimeable number, because it can be changed into a prime (10991237) 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 23 ways as a sum of consecutive naturals, for example, 233833 + ... + 233879.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 210991232 is an apocalyptic number.

10991232 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 10991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

10991232 is an abundant number, since it is smaller than the sum of its proper divisors (27197568).

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

10991232 is a wasteful number, since it uses less digits than its factorization.

10991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10991232 is about 3315.3027011119. The cubic root of 10991232 is about 222.3389028727.

The spelling of 10991232 in words is "ten million, nine hundred ninety-one thousand, two hundred thirty-two".