Search a number
-
+
23303140 = 2257237237
BaseRepresentation
bin101100011100…
…1001111100100
31121211220220021
41120321033210
521431200030
62151244524
7402034120
oct130711744
947756807
1023303140
1112176aa3
127979744
134a9ba53
143148580
1520a497a
hex16393e4

23303140 has 48 divisors (see below), whose sum is σ = 58367232. Its totient is φ = 7641216.

The previous prime is 23303113. The next prime is 23303149. The reversal of 23303140 is 4130332.

It is not an unprimeable number, because it can be changed into a prime (23303149) 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 15 ways as a sum of consecutive naturals, for example, 399 + ... + 6838.

It is an arithmetic number, because the mean of its divisors is an integer number (1215984).

Almost surely, 223303140 is an apocalyptic number.

23303140 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 23303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29183616).

23303140 is an abundant number, since it is smaller than the sum of its proper divisors (35064092).

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

23303140 is a wasteful number, since it uses less digits than its factorization.

23303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23303140 is about 4827.3325967868. The cubic root of 23303140 is about 285.6306543322.

Adding to 23303140 its reverse (4130332), we get a palindrome (27433472).

The spelling of 23303140 in words is "twenty-three million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 7237 14474 28948 36185 50659 72370 101318 144740 166451 202636 253295 332902 506590 665804 832255 1013180 1165157 1664510 2330314 3329020 4660628 5825785 11651570 23303140