Search a number
-
+
23138752 = 2671329137
BaseRepresentation
bin101100001000…
…1000111000000
31121112120101211
41120101013000
521410420002
62143535504
7400450630
oct130210700
947476354
1023138752
111207453a
1278ba594
134a41c90
1431046c0
152070dd7
hex16111c0

23138752 has 112 divisors (see below), whose sum is σ = 58887360. Its totient is φ = 8773632.

The previous prime is 23138749. The next prime is 23138761. The reversal of 23138752 is 25783132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168828 + ... + 168964.

It is an arithmetic number, because the mean of its divisors is an integer number (525780).

Almost surely, 223138752 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 23138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443680).

23138752 is an abundant number, since it is smaller than the sum of its proper divisors (35748608).

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

23138752 is a wasteful number, since it uses less digits than its factorization.

23138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 23138752 is about 4810.2756677762. The cubic root of 23138752 is about 284.9574246445.

It can be divided in two parts, 231 and 38752, that added together give a palindrome (38983).

The spelling of 23138752 in words is "twenty-three million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 137 182 203 208 224 232 274 364 377 406 416 448 464 548 728 754 812 832 928 959 1096 1456 1508 1624 1781 1856 1918 2192 2639 2912 3016 3248 3562 3836 3973 4384 5278 5824 6032 6496 7124 7672 7946 8768 10556 12064 12467 12992 14248 15344 15892 21112 24128 24934 27811 28496 30688 31784 42224 49868 51649 55622 56992 61376 63568 84448 99736 103298 111244 113984 127136 168896 199472 206596 222488 254272 361543 398944 413192 444976 723086 797888 826384 889952 1446172 1652768 1779904 2892344 3305536 5784688 11569376 23138752