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11889536 = 27293203
BaseRepresentation
bin101101010110…
…101110000000
3211101001101012
4231112232000
511020431121
61102500052
7203026241
oct55265600
924331335
1011889536
11679086a
123b94628
132603939
141816cc8
15109cc5b
hexb56b80

11889536 has 32 divisors (see below), whose sum is σ = 24510600. Its totient is φ = 5737984.

The previous prime is 11889529. The next prime is 11889539. The reversal of 11889536 is 63598811.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×118895362 = 282722132590592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11889493 and 11889502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11889539) 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 3 ways as a sum of consecutive naturals, for example, 2111 + ... + 5313.

Almost surely, 211889536 is an apocalyptic number.

11889536 is a gapful number since it is divisible by the number (16) 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 11889536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12255300).

11889536 is an abundant number, since it is smaller than the sum of its proper divisors (12621064).

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

11889536 is an equidigital number, since it uses as much as digits as its factorization.

11889536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3234 counting only the distinct ones).

The product of its digits is 51840, while the sum is 41.

The square root of 11889536 is about 3448.1206475412. The cubic root of 11889536 is about 228.2381834298.

The spelling of 11889536 in words is "eleven million, eight hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3203 3712 6406 12812 25624 51248 92887 102496 185774 204992 371548 409984 743096 1486192 2972384 5944768 11889536