Search a number
-
+
20024064 = 28332897
BaseRepresentation
bin100110001100…
…0101100000000
31101200022212000
41030120230000
520111232224
61553104000
7332126124
oct114305400
941608760
1020024064
1110337415
126858000
1341c1378
142933584
151b580c9
hex1318b00

20024064 has 72 divisors (see below), whose sum is σ = 59235120. Its totient is φ = 6672384.

The previous prime is 20024009. The next prime is 20024077. The reversal of 20024064 is 46042002.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5464 + ... + 8360.

It is an arithmetic number, because the mean of its divisors is an integer number (822710).

Almost surely, 220024064 is an apocalyptic number.

20024064 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 20024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29617560).

20024064 is an abundant number, since it is smaller than the sum of its proper divisors (39211056).

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

20024064 is an equidigital number, since it uses as much as digits as its factorization.

20024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2902 counting only the distinct ones).

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

The square root of 20024064 is about 4474.8255831932. The cubic root of 20024064 is about 271.5505842686.

Adding to 20024064 its reverse (46042002), we get a palindrome (66066066).

The spelling of 20024064 in words is "twenty million, twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2897 3456 5794 6912 8691 11588 17382 23176 26073 34764 46352 52146 69528 78219 92704 104292 139056 156438 185408 208584 278112 312876 370816 417168 556224 625752 741632 834336 1112448 1251504 1668672 2224896 2503008 3337344 5006016 6674688 10012032 20024064