[go: up one dir, main page]

Search a number
-
+
23536728 = 23322361233
BaseRepresentation
bin101100111001…
…0010001011000
31122021210022200
41121302101120
522011133403
62200250200
7404026125
oct131622130
948253280
1023536728
1112316546
127a70960
134b51177
1431a974c
1520edca3
hex1672458

23536728 has 96 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 7349760.

The previous prime is 23536703. The next prime is 23536729. The reversal of 23536728 is 82763532.

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 = 23536692 and 23536701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23536729) 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 23 ways as a sum of consecutive naturals, for example, 100900 + ... + 101132.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

Almost surely, 223536728 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 23536728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

23536728 is an abundant number, since it is smaller than the sum of its proper divisors (44360712).

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

23536728 is a wasteful number, since it uses less digits than its factorization.

23536728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

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

The square root of 23536728 is about 4851.4665823852. The cubic root of 23536728 is about 286.5818594153.

It can be divided in two parts, 235 and 36728, that added together give a palindrome (36963).

The spelling of 23536728 in words is "twenty-three million, five hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 61 69 72 92 122 138 183 184 207 233 244 276 366 414 466 488 549 552 699 732 828 932 1098 1398 1403 1464 1656 1864 2097 2196 2796 2806 4194 4209 4392 5359 5592 5612 8388 8418 10718 11224 12627 14213 16077 16776 16836 21436 25254 28426 32154 33672 42639 42872 48231 50508 56852 64308 85278 96462 101016 113704 127917 128616 170556 192924 255834 326899 341112 385848 511668 653798 980697 1023336 1307596 1961394 2615192 2942091 3922788 5884182 7845576 11768364 23536728