Search a number
-
+
23326420 = 22513731229
BaseRepresentation
bin101100011111…
…0111011010100
31121220002211111
41120332323110
521432421140
62151544404
7402162025
oct130767324
947802744
1023326420
1112192537
12798b104
134aa9520
143152c4c
1520ab7ea
hex163eed4

23326420 has 48 divisors (see below), whose sum is σ = 53519760. Its totient is φ = 8487936.

The previous prime is 23326367. The next prime is 23326421. The reversal of 23326420 is 2462332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 248004 + 23078416 = 498^2 + 4804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23326391 and 23326400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23326421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18366 + ... + 19594.

It is an arithmetic number, because the mean of its divisors is an integer number (1114995).

Almost surely, 223326420 is an apocalyptic number.

23326420 is a gapful number since it is divisible by the number (20) 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 23326420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26759880).

23326420 is an abundant number, since it is smaller than the sum of its proper divisors (30193340).

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

23326420 is a wasteful number, since it uses less digits than its factorization.

23326420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 23326420 is about 4829.7432643982. The cubic root of 23326420 is about 285.7257383504.

Adding to 23326420 its reverse (2462332), we get a palindrome (25788752).

The spelling of 23326420 in words is "twenty-three million, three hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1229 1460 1898 2458 3796 4745 4916 6145 9490 12290 15977 18980 24580 31954 63908 79885 89717 159770 179434 319540 358868 448585 897170 1166321 1794340 2332642 4665284 5831605 11663210 23326420