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24089140 = 22529411013
BaseRepresentation
bin101101111100…
…1001000110100
31200022212002101
41123321020310
522131323030
62220151444
7411516505
oct133711064
950285071
1024089140
1112663589
128098584
134cb573a
1432b0bac
1521ac7ca
hex16f9234

24089140 has 48 divisors (see below), whose sum is σ = 53660880. Its totient is φ = 9067520.

The previous prime is 24089137. The next prime is 24089141. The reversal of 24089140 is 4198042.

It can be written as a sum of positive squares in 8 ways, for example, as 10265616 + 13823524 = 3204^2 + 3718^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 24089099 and 24089108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24089141) 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, 23274 + ... + 24286.

It is an arithmetic number, because the mean of its divisors is an integer number (1117935).

Almost surely, 224089140 is an apocalyptic number.

24089140 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 24089140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440).

24089140 is an abundant number, since it is smaller than the sum of its proper divisors (29571740).

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

24089140 is a wasteful number, since it uses less digits than its factorization.

24089140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 24089140 is about 4908.0688666725. The cubic root of 24089140 is about 288.8065898594.

The spelling of 24089140 in words is "twenty-four million, eighty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1013 1189 2026 2378 4052 4756 5065 5945 10130 11890 20260 23780 29377 41533 58754 83066 117508 146885 166132 207665 293770 415330 587540 830660 1204457 2408914 4817828 6022285 12044570 24089140