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11887764 = 22371371033
BaseRepresentation
bin101101010110…
…010010010100
3211100221221120
4231112102110
511020402024
61102443540
7203021130
oct55262224
924327846
1011887764
11678a4a9
123b935b0
132602ba5
1418163c0
15109c479
hexb56494

11887764 has 48 divisors (see below), whose sum is σ = 31963008. Its totient is φ = 3368448.

The previous prime is 11887751. The next prime is 11887769. The reversal of 11887764 is 46778811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887769) 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 15 ways as a sum of consecutive naturals, for example, 10992 + ... + 12024.

It is an arithmetic number, because the mean of its divisors is an integer number (665896).

Almost surely, 211887764 is an apocalyptic number.

11887764 is a gapful number since it is divisible by the number (14) 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 11887764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981504).

11887764 is an abundant number, since it is smaller than the sum of its proper divisors (20075244).

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

11887764 is a wasteful number, since it uses less digits than its factorization.

11887764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 11887764 is about 3447.8636864006. The cubic root of 11887764 is about 228.2268440987.

The spelling of 11887764 in words is "eleven million, eight hundred eighty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1033 1644 1918 2066 2877 3099 3836 4132 5754 6198 7231 11508 12396 14462 21693 28924 43386 86772 141521 283042 424563 566084 849126 990647 1698252 1981294 2971941 3962588 5943882 11887764