Search a number
-
+
11609934 = 2373137241
BaseRepresentation
bin101100010010…
…011101001110
3210211211211120
4230102131032
510433004214
61052501410
7200453130
oct54223516
923754746
1011609934
11660a796
123a7a866
1325365ab
141783050
151044ea9
hexb1274e

11609934 has 64 divisors (see below), whose sum is σ = 28250112. Its totient is φ = 3110400.

The previous prime is 11609933. The next prime is 11609951. The reversal of 11609934 is 43990611.

11609934 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11609895 and 11609904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11609933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48054 + ... + 48294.

It is an arithmetic number, because the mean of its divisors is an integer number (441408).

Almost surely, 211609934 is an apocalyptic number.

11609934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11609934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125056).

11609934 is an abundant number, since it is smaller than the sum of its proper divisors (16640178).

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

11609934 is a wasteful number, since it uses less digits than its factorization.

11609934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 11609934 is about 3407.3353225064. The cubic root of 11609934 is about 226.4348403515.

The spelling of 11609934 in words is "eleven million, six hundred nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 217 222 241 259 434 482 518 651 723 777 1147 1302 1446 1554 1687 2294 3374 3441 5061 6882 7471 8029 8917 10122 14942 16058 17834 22413 24087 26751 44826 48174 52297 53502 62419 104594 124838 156891 187257 276427 313782 374514 552854 829281 1658562 1934989 3869978 5804967 11609934