[go: up one dir, main page]

Search a number
-
+
23545728 = 2735757
BaseRepresentation
bin101100111010…
…0011110000000
31122022020200000
41121310132000
522011430403
62200400000
7404064303
oct131643600
948266600
1023545728
1112322288
127a76000
134b552ab
1431acb3a
1521017a3
hex1674780

23545728 has 96 divisors (see below), whose sum is σ = 70357560. Its totient is φ = 7838208.

The previous prime is 23545723. The next prime is 23545757. The reversal of 23545728 is 82754532.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 23545692 and 23545701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23545723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30726 + ... + 31482.

Almost surely, 223545728 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 23545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35178780).

23545728 is an abundant number, since it is smaller than the sum of its proper divisors (46811832).

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

23545728 is an frugal number, since it uses more digits than its factorization.

23545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 762 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 23545728 is about 4852.3940483023. The cubic root of 23545728 is about 286.6183825895.

The spelling of 23545728 in words is "twenty-three million, five hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 757 864 972 1152 1296 1514 1728 1944 2271 2592 3028 3456 3888 4542 5184 6056 6813 7776 9084 10368 12112 13626 15552 18168 20439 24224 27252 31104 36336 40878 48448 54504 61317 72672 81756 96896 109008 122634 145344 163512 183951 218016 245268 290688 327024 367902 436032 490536 654048 735804 872064 981072 1308096 1471608 1962144 2616192 2943216 3924288 5886432 7848576 11772864 23545728