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21080064 = 21134773
BaseRepresentation
bin101000001101…
…0100000000000
31110122222102010
41100122200000
520344030224
62031452520
7344114625
oct120324000
943588363
1021080064
1110998845
127087140
1344a0c15
142b2a34c
151cb5e29
hex141a800

21080064 has 96 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 6782976.

The previous prime is 21080057. The next prime is 21080069. The reversal of 21080064 is 46008012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 21080064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21080069) 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, 288732 + ... + 288804.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 221080064 is an apocalyptic number.

21080064 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 21080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

21080064 is an abundant number, since it is smaller than the sum of its proper divisors (37101696).

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

21080064 is an equidigital number, since it uses as much as digits as its factorization.

21080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21080064 is about 4591.3030830038. The cubic root of 21080064 is about 276.2425928414.

Adding to 21080064 its reverse (46008012), we get a palindrome (67088076).

The spelling of 21080064 in words is "twenty-one million, eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 73 94 96 128 141 146 188 192 219 256 282 292 376 384 438 512 564 584 752 768 876 1024 1128 1168 1504 1536 1752 2048 2256 2336 3008 3072 3431 3504 4512 4672 6016 6144 6862 7008 9024 9344 10293 12032 13724 14016 18048 18688 20586 24064 27448 28032 36096 37376 41172 48128 54896 56064 72192 74752 82344 96256 109792 112128 144384 149504 164688 219584 224256 288768 329376 439168 448512 658752 878336 1317504 1756672 2635008 3513344 5270016 7026688 10540032 21080064