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11890592 = 257109487
BaseRepresentation
bin101101010110…
…111110100000
3211101002211022
4231112332200
511020444332
61102505012
7203032310
oct55267640
924332738
1011890592
11679163a
123b95168
13260426c
141817440
15109d212
hexb56fa0

11890592 has 48 divisors (see below), whose sum is σ = 27054720. Its totient is φ = 5038848.

The previous prime is 11890591. The next prime is 11890597. The reversal of 11890592 is 29509811.

It is a super-2 number, since 2×118905922 = 282772356220928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11890591) 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 7 ways as a sum of consecutive naturals, for example, 24173 + ... + 24659.

It is an arithmetic number, because the mean of its divisors is an integer number (563640).

Almost surely, 211890592 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 11890592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527360).

11890592 is an abundant number, since it is smaller than the sum of its proper divisors (15164128).

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

11890592 is a wasteful number, since it uses less digits than its factorization.

11890592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 11890592 is about 3448.2737710338. The cubic root of 11890592 is about 228.2449404187.

The spelling of 11890592 in words is "eleven million, eight hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 487 763 872 974 1526 1744 1948 3052 3409 3488 3896 6104 6818 7792 12208 13636 15584 24416 27272 53083 54544 106166 109088 212332 371581 424664 743162 849328 1486324 1698656 2972648 5945296 11890592