Search a number
-
+
23573268 = 2234312347
BaseRepresentation
bin101100111101…
…1001100010100
31122100122110000
41121323030110
522013321033
62201131300
7404240505
oct131731424
948318400
1023573268
1112340a44
127a89b30
134b649a4
1431b8bac
152109a13
hex167b314

23573268 has 60 divisors (see below), whose sum is σ = 63640192. Its totient is φ = 7601040.

The previous prime is 23573239. The next prime is 23573293. The reversal of 23573268 is 86237532.

23573268 is a `hidden beast` number, since 23 + 573 + 2 + 68 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8871 + ... + 11217.

Almost surely, 223573268 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 23573268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31820096).

23573268 is an abundant number, since it is smaller than the sum of its proper divisors (40066924).

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

23573268 is a wasteful number, since it uses less digits than its factorization.

23573268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2383 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 23573268 is about 4855.2309934750. The cubic root of 23573268 is about 286.7300857224.

It can be divided in two parts, 2357 and 3268, that added together give a square (5625 = 752).

The spelling of 23573268 in words is "twenty-three million, five hundred seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2347 2511 3348 4694 5022 7041 9388 10044 14082 21123 28164 42246 63369 72757 84492 126738 145514 190107 218271 253476 291028 380214 436542 654813 760428 873084 1309626 1964439 2619252 3928878 5893317 7857756 11786634 23573268