Search a number
-
+
23647428 = 22327107877
BaseRepresentation
bin101101000110…
…1010011000100
31122111102011200
41122031103010
522023204203
62202502500
7404666640
oct132152304
948442150
1023647428
1112391732
127b04a30
134b8c67c
1431d7c20
1521219a3
hex168d4c4

23647428 has 72 divisors (see below), whose sum is σ = 69031872. Its totient is φ = 6685632.

The previous prime is 23647423. The next prime is 23647453. The reversal of 23647428 is 82474632.

23647428 is a `hidden beast` number, since 2 + 3 + 647 + 4 + 2 + 8 = 666.

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 = 23647392 and 23647401.

It is not an unprimeable number, because it can be changed into a prime (23647423) 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, 26526 + ... + 27402.

It is an arithmetic number, because the mean of its divisors is an integer number (958776).

Almost surely, 223647428 is an apocalyptic number.

23647428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23647428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515936).

23647428 is an abundant number, since it is smaller than the sum of its proper divisors (45384444).

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

23647428 is a wasteful number, since it uses less digits than its factorization.

23647428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 996 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 23647428 is about 4862.8621201922. The cubic root of 23647428 is about 287.0304491645.

The spelling of 23647428 in words is "twenty-three million, six hundred forty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 877 963 1284 1498 1754 1926 2247 2631 2996 3508 3852 4494 5262 6139 6741 7893 8988 10524 12278 13482 15786 18417 24556 26964 31572 36834 55251 73668 93839 110502 187678 221004 281517 375356 563034 656873 844551 1126068 1313746 1689102 1970619 2627492 3378204 3941238 5911857 7882476 11823714 23647428