Search a number
-
+
11609928 = 233211107137
BaseRepresentation
bin101100010010…
…011101001000
3210211211211100
4230102131020
510433004203
61052501400
7200453121
oct54223510
923754740
1011609928
11660a790
123a7a860
1325365a5
141783048
151044ea3
hexb12748

11609928 has 96 divisors (see below), whose sum is σ = 34875360. Its totient is φ = 3459840.

The previous prime is 11609921. The next prime is 11609933. The reversal of 11609928 is 82990611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11609892 and 11609901.

It is not an unprimeable number, because it can be changed into a prime (11609921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84676 + ... + 84812.

It is an arithmetic number, because the mean of its divisors is an integer number (363285).

Almost surely, 211609928 is an apocalyptic number.

11609928 is a gapful number since it is divisible by the number (18) 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 11609928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437680).

11609928 is an abundant number, since it is smaller than the sum of its proper divisors (23265432).

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

11609928 is a wasteful number, since it uses less digits than its factorization.

11609928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11609928 is about 3407.3344420529. The cubic root of 11609928 is about 226.4348013444.

The spelling of 11609928 in words is "eleven million, six hundred nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 137 198 214 264 274 321 396 411 428 548 642 792 822 856 963 1096 1177 1233 1284 1507 1644 1926 2354 2466 2568 3014 3288 3531 3852 4521 4708 4932 6028 7062 7704 9042 9416 9864 10593 12056 13563 14124 14659 18084 21186 27126 28248 29318 36168 42372 43977 54252 58636 84744 87954 108504 117272 131931 161249 175908 263862 322498 351816 483747 527724 644996 967494 1055448 1289992 1451241 1934988 2902482 3869976 5804964 11609928