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23840208 = 2432767353
BaseRepresentation
bin101101011110…
…0010111010000
31122212012121200
41122330113100
522100341313
62210551200
7406431660
oct132742720
948765550
1023840208
1112503557
127b98500
134c29342
1432481a0
15215db73
hex16bc5d0

23840208 has 120 divisors (see below), whose sum is σ = 77608128. Its totient is φ = 6690816.

The previous prime is 23840207. The next prime is 23840227. The reversal of 23840208 is 80204832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23840207) 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, 67360 + ... + 67712.

Almost surely, 223840208 is an apocalyptic number.

23840208 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 23840208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38804064).

23840208 is an abundant number, since it is smaller than the sum of its proper divisors (53767920).

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

23840208 is a wasteful number, since it uses less digits than its factorization.

23840208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23840208 is about 4882.6435462770. The cubic root of 23840208 is about 287.8083215307.

The spelling of 23840208 in words is "twenty-three million, eight hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 353 402 469 504 536 603 706 804 938 1008 1059 1072 1206 1407 1412 1608 1876 2118 2412 2471 2814 2824 3177 3216 3752 4221 4236 4824 4942 5628 5648 6354 7413 7504 8442 8472 9648 9884 11256 12708 14826 16884 16944 19768 22239 22512 23651 25416 29652 33768 39536 44478 47302 50832 59304 67536 70953 88956 94604 118608 141906 165557 177912 189208 212859 283812 331114 355824 378416 425718 496671 567624 662228 851436 993342 1135248 1324456 1490013 1702872 1986684 2648912 2980026 3405744 3973368 5960052 7946736 11920104 23840208