Search a number
-
+
23143104 = 263359227
BaseRepresentation
bin101100001001…
…0001011000000
31121112210101000
41120102023000
521411034404
62144012000
7400466415
oct130221300
947483330
1023143104
1112077836
127901000
134a43c5a
14310610c
152072339
hex16122c0

23143104 has 112 divisors (see below), whose sum is σ = 69494400. Its totient is φ = 7550208.

The previous prime is 23143097. The next prime is 23143111. The reversal of 23143104 is 40134132.

23143104 is a `hidden beast` number, since 231 + 431 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23143097) and next prime (23143111).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 101839 + ... + 102065.

Almost surely, 223143104 is an apocalyptic number.

23143104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34747200).

23143104 is an abundant number, since it is smaller than the sum of its proper divisors (46351296).

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

23143104 is a wasteful number, since it uses less digits than its factorization.

23143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23143104 is about 4810.7280114344. The cubic root of 23143104 is about 284.9752887162.

Adding to 23143104 its reverse (40134132), we get a palindrome (63277236).

The spelling of 23143104 in words is "twenty-three million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 227 236 288 354 432 454 472 531 576 681 708 864 908 944 1062 1362 1416 1593 1728 1816 1888 2043 2124 2724 2832 3186 3632 3776 4086 4248 5448 5664 6129 6372 7264 8172 8496 10896 11328 12258 12744 13393 14528 16344 16992 21792 24516 25488 26786 32688 33984 40179 43584 49032 50976 53572 65376 80358 98064 101952 107144 120537 130752 160716 196128 214288 241074 321432 361611 392256 428576 482148 642864 723222 857152 964296 1285728 1446444 1928592 2571456 2892888 3857184 5785776 7714368 11571552 23143104