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11889045 = 335723547
BaseRepresentation
bin101101010110…
…100110010101
3211101000201000
4231112212111
511020422140
61102453513
7203024640
oct55264625
924330630
1011889045
116790463
123b94299
13260364c
141816a57
15109ca30
hexb56995

11889045 has 64 divisors (see below), whose sum is σ = 25251840. Its totient is φ = 5189184.

The previous prime is 11889037. The next prime is 11889049. The reversal of 11889045 is 54098811.

It is not a de Polignac number, because 11889045 - 23 = 11889037 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11889049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21462 + ... + 22008.

It is an arithmetic number, because the mean of its divisors is an integer number (394560).

Almost surely, 211889045 is an apocalyptic number.

11889045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11889045 is an abundant number, since it is smaller than the sum of its proper divisors (13362795).

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

11889045 is a wasteful number, since it uses less digits than its factorization.

11889045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11889045 is about 3448.0494486013. The cubic root of 11889045 is about 228.2350415497.

The spelling of 11889045 in words is "eleven million, eight hundred eighty-nine thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 547 621 805 945 1035 1449 1641 2415 2735 3105 3829 4347 4923 7245 8205 11487 12581 14769 19145 21735 24615 34461 37743 57435 62905 73845 88067 103383 113229 172305 188715 264201 339687 440335 516915 566145 792603 1321005 1698435 2377809 3963015 11889045