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23930800 = 2452292063
BaseRepresentation
bin101101101001…
…0011110110000
31200000210212221
41123102132300
522111241200
62212530424
7410260045
oct133223660
950023787
1023930800
1112565623
128020a14
134c5b64a
14326d1cc
15217a91a
hex16d27b0

23930800 has 60 divisors (see below), whose sum is σ = 59505120. Its totient is φ = 9237760.

The previous prime is 23930789. The next prime is 23930807. The reversal of 23930800 is 803932.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23930807) 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 11 ways as a sum of consecutive naturals, for example, 10569 + ... + 12631.

It is an arithmetic number, because the mean of its divisors is an integer number (991752).

Almost surely, 223930800 is an apocalyptic number.

23930800 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 23930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29752560).

23930800 is an abundant number, since it is smaller than the sum of its proper divisors (35574320).

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

23930800 is a wasteful number, since it uses less digits than its factorization.

23930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 23930800 is about 4891.9116917622. The cubic root of 23930800 is about 288.1724147653.

The spelling of 23930800 in words is "twenty-three million, nine hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2063 2320 2900 4126 5800 8252 10315 11600 16504 20630 33008 41260 51575 59827 82520 103150 119654 165040 206300 239308 299135 412600 478616 598270 825200 957232 1196540 1495675 2393080 2991350 4786160 5982700 11965400 23930800