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23936016 = 2431389431
BaseRepresentation
bin101101101001…
…1110000010000
31200001002001010
41123103300100
522111423031
62213010520
7410311206
oct133236020
950032033
1023936016
1112569535
128023a40
134c60b30
143271076
15217c246
hex16d3c10

23936016 has 80 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 7265280.

The previous prime is 23936009. The next prime is 23936021. The reversal of 23936016 is 61063932.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55321 + ... + 55751.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 223936016 is an apocalyptic number.

23936016 is a gapful number since it is divisible by the number (26) 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 23936016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

23936016 is an abundant number, since it is smaller than the sum of its proper divisors (43559664).

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

23936016 is a wasteful number, since it uses less digits than its factorization.

23936016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23936016 is about 4892.4447876292. Note that the first 3 decimals coincide. The cubic root of 23936016 is about 288.1933501028.

Adding to 23936016 its reverse (61063932), we get a palindrome (84999948).

The spelling of 23936016 in words is "twenty-three million, nine hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 431 534 624 712 862 1068 1157 1293 1424 1724 2136 2314 2586 3448 3471 4272 4628 5172 5603 6896 6942 9256 10344 11206 13884 16809 18512 20688 22412 27768 33618 38359 44824 55536 67236 76718 89648 115077 134472 153436 230154 268944 306872 460308 498667 613744 920616 997334 1496001 1841232 1994668 2992002 3989336 5984004 7978672 11968008 23936016