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20216064 = 283112393
BaseRepresentation
bin100110100011…
…1100100000000
31102001002020010
41031013210000
520133403224
62001144520
7333555651
oct115074400
942032203
1020216064
11104586a0
12692b140
13425a88b
142983528
151b94e29
hex1347900

20216064 has 72 divisors (see below), whose sum is σ = 58720032. Its totient is φ = 6123520.

The previous prime is 20216047. The next prime is 20216069. The reversal of 20216064 is 46061202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20216064.

It is not an unprimeable number, because it can be changed into a prime (20216069) 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, 7252 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (815556).

Almost surely, 220216064 is an apocalyptic number.

20216064 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 20216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29360016).

20216064 is an abundant number, since it is smaller than the sum of its proper divisors (38503968).

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

20216064 is a wasteful number, since it uses less digits than its factorization.

20216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20216064 is about 4496.2277522385. The cubic root of 20216064 is about 272.4157425443.

Adding to 20216064 its reverse (46061202), we get a palindrome (66277266).

The spelling of 20216064 in words is "twenty million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2393 2816 4224 4786 7179 8448 9572 14358 19144 26323 28716 38288 52646 57432 76576 78969 105292 114864 153152 157938 210584 229728 306304 315876 421168 459456 612608 631752 842336 918912 1263504 1684672 1837824 2527008 3369344 5054016 6738688 10108032 20216064