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11120032 = 257114513
BaseRepresentation
bin101010011010…
…110110100000
3202220221211001
4222122312200
510321320112
61034201344
7163342630
oct52326640
922827731
1011120032
116305710
123883254
1323c4601
1416966c0
15e99c57
hexa9ada0

11120032 has 48 divisors (see below), whose sum is σ = 27300672. Its totient is φ = 4331520.

The previous prime is 11120009. The next prime is 11120033. The reversal of 11120032 is 23002111.

It is a super-2 number, since 2×111200322 = 247310223362048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11120033) 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 7 ways as a sum of consecutive naturals, for example, 208 + ... + 4720.

It is an arithmetic number, because the mean of its divisors is an integer number (568764).

Almost surely, 211120032 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 11120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650336).

11120032 is an abundant number, since it is smaller than the sum of its proper divisors (16180640).

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

11120032 is a wasteful number, since it uses less digits than its factorization.

11120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11120032 is about 3334.6711981843. The cubic root of 11120032 is about 223.2040200883.

Adding to 11120032 its reverse (23002111), we get a palindrome (34122143).

The spelling of 11120032 in words is "eleven million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4513 9026 18052 31591 36104 49643 63182 72208 99286 126364 144416 198572 252728 347501 397144 505456 695002 794288 1010912 1390004 1588576 2780008 5560016 11120032