[go: up one dir, main page]

Search a number
-
+
24166000 = 245343281
BaseRepresentation
bin101110000101…
…1111001110000
31200110202112001
41130023321300
522141303000
62221543344
7412256545
oct134137160
950422461
1024166000
1112706301
128114b54
135011711
1432d0bcc
1521c546a
hex170be70

24166000 has 80 divisors (see below), whose sum is σ = 60005088. Its totient is φ = 9408000.

The previous prime is 24165991. The next prime is 24166001. The reversal of 24166000 is 66142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24166001) 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 15 ways as a sum of consecutive naturals, for example, 85860 + ... + 86140.

Almost surely, 224166000 is an apocalyptic number.

24166000 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 24166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30002544).

24166000 is an abundant number, since it is smaller than the sum of its proper divisors (35839088).

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

24166000 is a wasteful number, since it uses less digits than its factorization.

24166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 24166000 is about 4915.8925944329. The cubic root of 24166000 is about 289.1134239476.

The spelling of 24166000 in words is "twenty-four million, one hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 281 344 400 430 500 562 688 860 1000 1075 1124 1405 1720 2000 2150 2248 2810 3440 4300 4496 5375 5620 7025 8600 10750 11240 12083 14050 17200 21500 22480 24166 28100 35125 43000 48332 56200 60415 70250 86000 96664 112400 120830 140500 193328 241660 281000 302075 483320 562000 604150 966640 1208300 1510375 2416600 3020750 4833200 6041500 12083000 24166000