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23830640 = 245893347
BaseRepresentation
bin101101011101…
…0000001110000
31122211201111022
41122322001300
522100040030
62210435012
7406362041
oct132720160
948751438
1023830640
11124a7349
127b92a68
134c24b92
1432448c8
15215ade5
hex16ba070

23830640 has 40 divisors (see below), whose sum is σ = 56045520. Its totient is φ = 9422336.

The previous prime is 23830621. The next prime is 23830649. The reversal of 23830640 is 4603832.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23830649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5447 + ... + 8793.

It is an arithmetic number, because the mean of its divisors is an integer number (1401138).

Almost surely, 223830640 is an apocalyptic number.

23830640 is a gapful number since it is divisible by the number (20) 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 23830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28022760).

23830640 is an abundant number, since it is smaller than the sum of its proper divisors (32214880).

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

23830640 is a wasteful number, since it uses less digits than its factorization.

23830640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23830640 is about 4881.6636508469. The cubic root of 23830640 is about 287.7698134984.

The spelling of 23830640 in words is "twenty-three million, eight hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3347 3560 6694 7120 13388 16735 26776 33470 53552 66940 133880 267760 297883 595766 1191532 1489415 2383064 2978830 4766128 5957660 11915320 23830640