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23975016 = 23313223257
BaseRepresentation
bin101101101110…
…1010001101000
31200010001112120
41123131101220
522114200031
62213511240
7410533002
oct133352150
950101476
1023975016
111259586a
128042520
134c75800
143281372
152188a96
hex16dd468

23975016 has 96 divisors (see below), whose sum is σ = 67988160. Its totient is φ = 7028736.

The previous prime is 23975011. The next prime is 23975023. The reversal of 23975016 is 61057932.

It is not an unprimeable number, because it can be changed into a prime (23975011) 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, 93160 + ... + 93416.

It is an arithmetic number, because the mean of its divisors is an integer number (708210).

Almost surely, 223975016 is an apocalyptic number.

23975016 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 23975016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33994080).

23975016 is an abundant number, since it is smaller than the sum of its proper divisors (44013144).

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

23975016 is a wasteful number, since it uses less digits than its factorization.

23975016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 23975016 is about 4896.4289027821. The cubic root of 23975016 is about 288.3497871892.

The spelling of 23975016 in words is "twenty-three million, nine hundred seventy-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 169 184 257 276 299 312 338 507 514 552 598 676 771 897 1014 1028 1196 1352 1542 1794 2028 2056 2392 3084 3341 3588 3887 4056 5911 6168 6682 7176 7774 10023 11661 11822 13364 15548 17733 20046 23322 23644 26728 31096 35466 40092 43433 46644 47288 70932 76843 80184 86866 93288 130299 141864 153686 173732 230529 260598 307372 347464 461058 521196 614744 922116 998959 1042392 1844232 1997918 2996877 3995836 5993754 7991672 11987508 23975016