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11067984 = 2432101761
BaseRepresentation
bin101010001110…
…001001010000
3202211022102100
4222032021100
510313133414
61033120400
7163035114
oct52161120
922738370
1011067984
11627a5a4
123859100
1323a6a05
141681744
15e89609
hexa8e250

11067984 has 60 divisors (see below), whose sum is σ = 31322772. Its totient is φ = 3648000.

The previous prime is 11067943. The next prime is 11067989. The reversal of 11067984 is 48976011.

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 6350400 = 2172^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11067989) 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, 14164 + ... + 14924.

Almost surely, 211067984 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 11067984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661386).

11067984 is an abundant number, since it is smaller than the sum of its proper divisors (20254788).

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

11067984 is a wasteful number, since it uses less digits than its factorization.

11067984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11067984 is about 3326.8579771310. The cubic root of 11067984 is about 222.8552352612.

The spelling of 11067984 in words is "eleven million, sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 761 808 909 1212 1522 1616 1818 2283 2424 3044 3636 4566 4848 6088 6849 7272 9132 12176 13698 14544 18264 27396 36528 54792 76861 109584 153722 230583 307444 461166 614888 691749 922332 1229776 1383498 1844664 2766996 3689328 5533992 11067984