Search a number
-
+
11525664 = 253211569
BaseRepresentation
bin101011111101…
…111000100000
3210200120020110
4223331320200
510422310124
61051011320
7166652343
oct53757040
923616213
1011525664
116562447
123a39b40
132507127
14176045a
15102a029
hexafde20

11525664 has 48 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 3816960.

The previous prime is 11525663. The next prime is 11525671. The reversal of 11525664 is 46652511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11525663) 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, 19972 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (634410).

Almost surely, 211525664 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 11525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

11525664 is an abundant number, since it is smaller than the sum of its proper divisors (18926016).

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

11525664 is a wasteful number, since it uses less digits than its factorization.

11525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 11525664 is about 3394.9468331625. The cubic root of 11525664 is about 225.8856549507.

The spelling of 11525664 in words is "eleven million, five hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 569 633 844 1138 1266 1688 1707 2276 2532 3376 3414 4552 5064 6752 6828 9104 10128 13656 18208 20256 27312 54624 120059 240118 360177 480236 720354 960472 1440708 1920944 2881416 3841888 5762832 11525664