Search a number
-
+
23446128 = 2431759487
BaseRepresentation
bin101100101110…
…0001001110000
31122010012001010
41121130021300
522000234003
62154310520
7403201026
oct131341160
948105033
1023446128
1112264472
127a28440
134b1bb64
143184716
1520d2003
hex165c270

23446128 has 80 divisors (see below), whose sum is σ = 65352960. Its totient is φ = 7216128.

The previous prime is 23446127. The next prime is 23446141. The reversal of 23446128 is 82164432.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23446095 and 23446104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23446121) 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 15 ways as a sum of consecutive naturals, for example, 47901 + ... + 48387.

It is an arithmetic number, because the mean of its divisors is an integer number (816912).

Almost surely, 223446128 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 23446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32676480).

23446128 is an abundant number, since it is smaller than the sum of its proper divisors (41906832).

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

23446128 is a wasteful number, since it uses less digits than its factorization.

23446128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 23446128 is about 4842.1201967733. The cubic root of 23446128 is about 286.2136731104.

The spelling of 23446128 in words is "twenty-three million, four hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 59 68 102 118 136 177 204 236 272 354 408 472 487 708 816 944 974 1003 1416 1461 1948 2006 2832 2922 3009 3896 4012 5844 6018 7792 8024 8279 11688 12036 16048 16558 23376 24072 24837 28733 33116 48144 49674 57466 66232 86199 99348 114932 132464 172398 198696 229864 344796 397392 459728 488461 689592 976922 1379184 1465383 1953844 2930766 3907688 5861532 7815376 11723064 23446128