Search a number
-
+
23542728 = 23311467
BaseRepresentation
bin101100111001…
…1101111001000
31122022002112220
41121303233020
522011331403
62200334040
7404052456
oct131635710
948262486
1023542728
1112320000
127a74320
134b53b11
1431ab9d6
152100953
hex1673bc8

23542728 has 80 divisors (see below), whose sum is σ = 65708400. Its totient is φ = 7027680.

The previous prime is 23542721. The next prime is 23542763. The reversal of 23542728 is 82724532.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (26880) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (23542721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 351351 + ... + 351417.

It is an arithmetic number, because the mean of its divisors is an integer number (821355).

Almost surely, 223542728 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 23542728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32854200).

23542728 is an abundant number, since it is smaller than the sum of its proper divisors (42165672).

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

23542728 is an equidigital number, since it uses as much as digits as its factorization.

23542728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 23542728 is about 4852.0849126947. The cubic root of 23542728 is about 286.6062092324.

It can be divided in two parts, 235427 and 28, that multiplied together give a palindrome (6591956).

The spelling of 23542728 in words is "twenty-three million, five hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 121 132 134 201 242 264 268 363 402 484 536 726 737 804 968 1331 1452 1474 1608 2211 2662 2904 2948 3993 4422 5324 5896 7986 8107 8844 10648 14641 15972 16214 17688 24321 29282 31944 32428 43923 48642 58564 64856 87846 89177 97284 117128 175692 178354 194568 267531 351384 356708 535062 713416 980947 1070124 1961894 2140248 2942841 3923788 5885682 7847576 11771364 23542728