Search a number
-
+
23085930 = 2357472339
BaseRepresentation
bin101100000010…
…0001101101010
31121102212221110
41120010031222
521402222210
62142451150
7400140630
oct130041552
947385843
1023085930
111203888a
127893ab6
134a23c1a
1430cd350
152060420
hex160436a

23085930 has 64 divisors (see below), whose sum is σ = 64696320. Its totient is φ = 5162304.

The previous prime is 23085929. The next prime is 23085961. The reversal of 23085930 is 3958032.

23085930 = 1892 + 1902 + ... + 4232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8701 + ... + 11039.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 223085930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23085930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32348160).

23085930 is an abundant number, since it is smaller than the sum of its proper divisors (41610390).

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

23085930 is a wasteful number, since it uses less digits than its factorization.

23085930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 23085930 is about 4804.7819929733. The cubic root of 23085930 is about 284.7404223129.

The spelling of 23085930 in words is "twenty-three million, eighty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 2339 3290 4678 4935 7017 9870 11695 14034 16373 23390 32746 35085 49119 70170 81865 98238 109933 163730 219866 245595 329799 491190 549665 659598 769531 1099330 1539062 1648995 2308593 3297990 3847655 4617186 7695310 11542965 23085930