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23985400 = 2352432789
BaseRepresentation
bin101101101111…
…1110011111000
31200010120210011
41123133303320
522120013100
62214031304
7410605165
oct133376370
950116704
1023985400
11125a264a
128048534
134c7a45a
14328506c
15218bbba
hex16dfcf8

23985400 has 48 divisors (see below), whose sum is σ = 57083400. Its totient is φ = 9367680.

The previous prime is 23985373. The next prime is 23985431. The reversal of 23985400 is 458932.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7206 + ... + 9994.

Almost surely, 223985400 is an apocalyptic number.

23985400 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 23985400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28541700).

23985400 is an abundant number, since it is smaller than the sum of its proper divisors (33098000).

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

23985400 is a wasteful number, since it uses less digits than its factorization.

23985400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 23985400 is about 4897.4891526169. The cubic root of 23985400 is about 288.3914109642.

The spelling of 23985400 in words is "twenty-three million, nine hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 2789 4300 5578 8600 11156 13945 22312 27890 55780 69725 111560 119927 139450 239854 278900 479708 557800 599635 959416 1199270 2398540 2998175 4797080 5996350 11992700 23985400