Search a number
-
+
23645136 = 243472223
BaseRepresentation
bin101101000110…
…0101111010000
31122111022000210
41122030233100
522023121021
62202444120
7404660154
oct132145720
948438023
1023645136
111238aa39
127b03640
134b8b608
1431d7064
152120e76
hex168cbd0

23645136 has 60 divisors (see below), whose sum is σ = 62690432. Its totient is φ = 7679424.

The previous prime is 23645131. The next prime is 23645161. The reversal of 23645136 is 63154632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23645131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105921 + ... + 106143.

Almost surely, 223645136 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 23645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31345216).

23645136 is an abundant number, since it is smaller than the sum of its proper divisors (39045296).

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

23645136 is a wasteful number, since it uses less digits than its factorization.

23645136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 275 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 23645136 is about 4862.6264507980. The cubic root of 23645136 is about 287.0211754985.

Adding to 23645136 its reverse (63154632), we get a palindrome (86799768).

The spelling of 23645136 in words is "twenty-three million, six hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 223 282 376 446 564 669 752 892 1128 1338 1784 2209 2256 2676 3568 4418 5352 6627 8836 10481 10704 13254 17672 20962 26508 31443 35344 41924 53016 62886 83848 106032 125772 167696 251544 492607 503088 985214 1477821 1970428 2955642 3940856 5911284 7881712 11822568 23645136