Base | Representation |
---|---|
bin | 101101110001… |
… | …1011010010000 |
3 | 1200011100000020 |
4 | 1123203122100 |
5 | 22121001034 |
6 | 2214223440 |
7 | 410666160 |
oct | 133433220 |
9 | 50140006 |
10 | 24000144 |
11 | 12602733 |
12 | 8054b80 |
13 | 4c8408c |
14 | 328a5a0 |
15 | 2191249 |
hex | 16e3690 |
24000144 has 40 divisors (see below), whose sum is σ = 70858560. Its totient is φ = 6857088.
The previous prime is 24000143. The next prime is 24000203. The reversal of 24000144 is 44100042.
It is not an unprimeable number, because it can be changed into a prime (24000143) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35379 + ... + 36050.
It is an arithmetic number, because the mean of its divisors is an integer number (1771464).
Almost surely, 224000144 is an apocalyptic number.
24000144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
24000144 is an abundant number, since it is smaller than the sum of its proper divisors (46858416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24000144 is a wasteful number, since it uses less digits than its factorization.
24000144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71447 (or 71441 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 15.
The square root of 24000144 is about 4898.9941824828. The cubic root of 24000144 is about 288.4504909602.
Adding to 24000144 its reverse (44100042), we get a palindrome (68100186).
The spelling of 24000144 in words is "twenty-four million, one hundred forty-four", and thus it is an aban number.
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