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23890608 = 24327137173
BaseRepresentation
bin101101100100…
…0101010110000
31122221202202100
41123020222300
522103444413
62212020400
7410031630
oct133105260
948852670
1023890608
1112538405
128001700
134c46271
14325c6c0
15216da73
hex16c8ab0

23890608 has 120 divisors (see below), whose sum is σ = 77414688. Its totient is φ = 6736896.

The previous prime is 23890597. The next prime is 23890621. The reversal of 23890608 is 80609832.

It is a super-3 number, since 3×238906083 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 138010 + ... + 138182.

Almost surely, 223890608 is an apocalyptic number.

23890608 is a gapful number since it is divisible by the number (28) 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 23890608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707344).

23890608 is an abundant number, since it is smaller than the sum of its proper divisors (53524080).

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

23890608 is a wasteful number, since it uses less digits than its factorization.

23890608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23890608 is about 4887.8019599816. The cubic root of 23890608 is about 288.0109949506.

The spelling of 23890608 in words is "twenty-three million, eight hundred ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 137 144 168 173 252 274 336 346 411 504 519 548 692 822 959 1008 1038 1096 1211 1233 1384 1557 1644 1918 2076 2192 2422 2466 2768 2877 3114 3288 3633 3836 4152 4844 4932 5754 6228 6576 7266 7672 8304 8631 9688 9864 10899 11508 12456 14532 15344 17262 19376 19728 21798 23016 23701 24912 29064 34524 43596 46032 47402 58128 69048 71103 87192 94804 138096 142206 165907 174384 189608 213309 284412 331814 379216 426618 497721 568824 663628 853236 995442 1137648 1327256 1493163 1706472 1990884 2654512 2986326 3412944 3981768 5972652 7963536 11945304 23890608