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23520042 = 23271383173
BaseRepresentation
bin101100110111…
…0001100101010
31122020221102200
41121232030222
522010120132
62200041030
7403626360
oct131561452
948227380
1023520042
1112304a57
127a63176
134b466b0
1431a3630
1520e8d7c
hex166e32a

23520042 has 96 divisors (see below), whose sum is σ = 63842688. Its totient is φ = 6092928.

The previous prime is 23520031. The next prime is 23520059. The reversal of 23520042 is 24002532.

It is a super-3 number, since 3×235200423 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23519997 and 23520024.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 135868 + ... + 136040.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 223520042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23520042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31921344).

23520042 is an abundant number, since it is smaller than the sum of its proper divisors (40322646).

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

23520042 is a wasteful number, since it uses less digits than its factorization.

23520042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23520042 is about 4849.7465913179. The cubic root of 23520042 is about 286.5141208102.

Adding to 23520042 its reverse (24002532), we get a palindrome (47522574).

The spelling of 23520042 in words is "twenty-three million, five hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 83 91 117 126 166 173 182 234 249 273 346 498 519 546 581 747 819 1038 1079 1162 1211 1494 1557 1638 1743 2158 2249 2422 3114 3237 3486 3633 4498 5229 6474 6747 7266 7553 9711 10458 10899 13494 14359 15106 15743 19422 20241 21798 22659 28718 31486 40482 43077 45318 47229 67977 86154 94458 100513 129231 135954 141687 186667 201026 258462 283374 301539 373334 560001 603078 904617 1120002 1306669 1680003 1809234 2613338 3360006 3920007 7840014 11760021 23520042