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11000232 = 2333127401
BaseRepresentation
bin101001111101…
…100110101000
3202200212111000
4221331212220
510304001412
61031435000
7162333435
oct51754650
922625430
1011000232
116233701
123825a60
132381c19
141664b8c
15e744dc
hexa7d9a8

11000232 has 64 divisors (see below), whose sum is σ = 30873600. Its totient is φ = 3628800.

The previous prime is 11000189. The next prime is 11000273. The reversal of 11000232 is 23200011.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27232 + ... + 27632.

It is an arithmetic number, because the mean of its divisors is an integer number (482400).

Almost surely, 211000232 is an apocalyptic number.

11000232 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 11000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436800).

11000232 is an abundant number, since it is smaller than the sum of its proper divisors (19873368).

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

11000232 is a wasteful number, since it uses less digits than its factorization.

11000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11000232 is about 3316.6597654870. The cubic root of 11000232 is about 222.3995725713.

Adding to 11000232 its reverse (23200011), we get a palindrome (34200243).

The spelling of 11000232 in words is "eleven million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 401 508 762 802 1016 1143 1203 1524 1604 2286 2406 3048 3208 3429 3609 4572 4812 6858 7218 9144 9624 10827 13716 14436 21654 27432 28872 43308 50927 86616 101854 152781 203708 305562 407416 458343 611124 916686 1222248 1375029 1833372 2750058 3666744 5500116 11000232