Search a number
-
+
23361606 = 2322373773
BaseRepresentation
bin101100100011…
…1100001000110
31121221220002200
41121013201012
521440032411
62152415330
7402366432
oct131074106
947856080
1023361606
1112206a14
1279a7546
134abc548
1431619c2
1520b6e56
hex1647846

23361606 has 48 divisors (see below), whose sum is σ = 53610336. Its totient is φ = 7337088.

The previous prime is 23361601. The next prime is 23361619. The reversal of 23361606 is 60616332.

23361606 is a `hidden beast` number, since 23 + 36 + 1 + 606 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23361606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23361601) 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 23 ways as a sum of consecutive naturals, for example, 29836 + ... + 30608.

It is an arithmetic number, because the mean of its divisors is an integer number (1116882).

Almost surely, 223361606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23361606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805168).

23361606 is an abundant number, since it is smaller than the sum of its proper divisors (30248730).

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

23361606 is a wasteful number, since it uses less digits than its factorization.

23361606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 23361606 is about 4833.3845284645. The cubic root of 23361606 is about 285.8693308245.

Adding to 23361606 its reverse (60616332), we get a palindrome (83977938).

The spelling of 23361606 in words is "twenty-three million, three hundred sixty-one thousand, six hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 773 1314 1546 1679 2319 3358 4638 5037 6957 10074 13914 15111 17779 30222 35558 53337 56429 106674 112858 160011 169287 320022 338574 507861 1015722 1297867 2595734 3893601 7787202 11680803 23361606