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11889000 = 2332531321
BaseRepresentation
bin101101010110…
…100101101000
3211101000122100
4231112211220
511020422000
61102453400
7203024544
oct55264550
924330570
1011889000
116790422
123b94260
132603616
141816a24
15109ca00
hexb56968

11889000 has 96 divisors (see below), whose sum is σ = 40215240. Its totient is φ = 3168000.

The previous prime is 11888983. The next prime is 11889011. The reversal of 11889000 is 98811.

11889000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6441444 + 5447556 = 2538^2 + 2334^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8340 + ... + 9660.

Almost surely, 211889000 is an apocalyptic number.

11889000 is a gapful number since it is divisible by the number (10) 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 11889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20107620).

11889000 is an abundant number, since it is smaller than the sum of its proper divisors (28326240).

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

11889000 is a wasteful number, since it uses less digits than its factorization.

11889000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 11889000 is about 3448.0429231667. The cubic root of 11889000 is about 228.2347535930.

The spelling of 11889000 in words is "eleven million, eight hundred eighty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1321 1500 1800 2250 2642 3000 3963 4500 5284 6605 7926 9000 10568 11889 13210 15852 19815 23778 26420 31704 33025 39630 47556 52840 59445 66050 79260 95112 99075 118890 132100 158520 165125 198150 237780 264200 297225 330250 396300 475560 495375 594450 660500 792600 990750 1188900 1321000 1486125 1981500 2377800 2972250 3963000 5944500 11889000