Search a number
-
+
23141320 = 235578533
BaseRepresentation
bin101100001000…
…1101111001000
31121112200220221
41120101233020
521411010240
62143555424
7400461256
oct130215710
947480827
1023141320
1112076464
1278bbb74
134a431b7
1431055d6
152071a4a
hex1611bc8

23141320 has 16 divisors (see below), whose sum is σ = 52068060. Its totient is φ = 9256512.

The previous prime is 23141311. The next prime is 23141323. The reversal of 23141320 is 2314132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21846276 + 1295044 = 4674^2 + 1138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23141294 and 23141303.

It is not an unprimeable number, because it can be changed into a prime (23141323) 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 3 ways as a sum of consecutive naturals, for example, 289227 + ... + 289306.

Almost surely, 223141320 is an apocalyptic number.

23141320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23141320 is an abundant number, since it is smaller than the sum of its proper divisors (28926740).

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

23141320 is a wasteful number, since it uses less digits than its factorization.

23141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578544 (or 578540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 23141320 is about 4810.5425889394. The cubic root of 23141320 is about 284.9679660312.

Adding to 23141320 its reverse (2314132), we get a palindrome (25455452).

The spelling of 23141320 in words is "twenty-three million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 578533 1157066 2314132 2892665 4628264 5785330 11570660 23141320