Search a number
-
+
23275420 = 2257312173
BaseRepresentation
bin101100011001…
…0011110011100
31121210111212121
41120302132130
521424303140
62150512324
7401560240
oct130623634
947714777
1023275420
1112158193
1279656a4
134a8c24c
14313c420
15209b64a
hex163279c

23275420 has 72 divisors (see below), whose sum is σ = 58054752. Its totient is φ = 7678080.

The previous prime is 23275409. The next prime is 23275423. The reversal of 23275420 is 2457232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23275423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134454 + ... + 134626.

It is an arithmetic number, because the mean of its divisors is an integer number (806316).

Almost surely, 223275420 is an apocalyptic number.

23275420 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 23275420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29027376).

23275420 is an abundant number, since it is smaller than the sum of its proper divisors (34779332).

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

23275420 is a wasteful number, since it uses less digits than its factorization.

23275420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 23275420 is about 4824.4605916102. The cubic root of 23275420 is about 285.5173531021.

The spelling of 23275420 in words is "twenty-three million, two hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 173 217 310 346 434 620 692 865 868 961 1085 1211 1730 1922 2170 2422 3460 3844 4340 4805 4844 5363 6055 6727 9610 10726 12110 13454 19220 21452 24220 26815 26908 33635 37541 53630 67270 75082 107260 134540 150164 166253 187705 332506 375410 665012 750820 831265 1163771 1662530 2327542 3325060 4655084 5818855 11637710 23275420