Search a number
-
+
23052096 = 2632311291
BaseRepresentation
bin101011111101…
…1111101000000
31121101011112100
41113323331000
521400131341
62142030400
7366640164
oct127737500
947334470
1023052096
1112015421
127878400
134a116c2
1430c0ca4
1520553b6
hex15fbf40

23052096 has 84 divisors (see below), whose sum is σ = 68258944. Its totient is φ = 7430400.

The previous prime is 23052089. The next prime is 23052097. The reversal of 23052096 is 69025032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23052097) 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, 17211 + ... + 18501.

Almost surely, 223052096 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 23052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34129472).

23052096 is an abundant number, since it is smaller than the sum of its proper divisors (45206848).

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

23052096 is a wasteful number, since it uses less digits than its factorization.

23052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 23052096 is about 4801.2598346684. The cubic root of 23052096 is about 284.6012521536.

It can be divided in two parts, 230 and 52096, that added together give a triangular number (52326 = T323).

The spelling of 23052096 in words is "twenty-three million, fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1291 1488 1984 2232 2582 2976 3873 4464 5164 5952 7746 8928 10328 11619 15492 17856 20656 23238 30984 40021 41312 46476 61968 80042 82624 92952 120063 123936 160084 185904 240126 247872 320168 360189 371808 480252 640336 720378 743616 960504 1280672 1440756 1921008 2561344 2881512 3842016 5763024 7684032 11526048 23052096