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24020064 = 25353089
BaseRepresentation
bin101101110100…
…0010001100000
31200012100100000
41123220101200
522122120224
62214500000
7411111225
oct133502140
950170300
1024020064
11126166a2
128064600
134c90173
14329394c
1521970c9
hex16e8460

24020064 has 72 divisors (see below), whose sum is σ = 70859880. Its totient is φ = 8004096.

The previous prime is 24020063. The next prime is 24020069. The reversal of 24020064 is 46002042.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24020063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6232 + ... + 9320.

It is an arithmetic number, because the mean of its divisors is an integer number (984165).

Almost surely, 224020064 is an apocalyptic number.

24020064 is a gapful number since it is divisible by the number (24) 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 24020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35429940).

24020064 is an abundant number, since it is smaller than the sum of its proper divisors (46839816).

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

24020064 is an equidigital number, since it uses as much as digits as its factorization.

24020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 24020064 is about 4901.0268311855. The cubic root of 24020064 is about 288.5302730483.

The spelling of 24020064 in words is "twenty-four million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3089 3888 6178 7776 9267 12356 18534 24712 27801 37068 49424 55602 74136 83403 98848 111204 148272 166806 222408 250209 296544 333612 444816 500418 667224 750627 889632 1000836 1334448 1501254 2001672 2668896 3002508 4003344 6005016 8006688 12010032 24020064