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21090384 = 24327461
BaseRepresentation
bin101000001110…
…1000001010000
31110200111120100
41100131001100
520344343014
62032012400
7344160000
oct120350120
943614510
1021090384
11109a5577
127091100
1344a5823
142b30000
151cb9009
hex141d050

21090384 has 150 divisors (see below), whose sum is σ = 69985786. Its totient is φ = 5927040.

The previous prime is 21090373. The next prime is 21090397. The reversal of 21090384 is 48309012.

21090384 = 503 + 513 + ... + 973.

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 8643600 = 3528^2 + 2940^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345714 + ... + 345774.

Almost surely, 221090384 is an apocalyptic number.

21090384 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 21090384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992893).

21090384 is an abundant number, since it is smaller than the sum of its proper divisors (48895402).

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

21090384 is an equidigital number, since it uses as much as digits as its factorization.

21090384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21090384 is about 4592.4268094331. The cubic root of 21090384 is about 276.2876647866.

Adding to 21090384 its reverse (48309012), we get a palindrome (69399396).

The spelling of 21090384 in words is "twenty-one million, ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 61 63 72 84 98 112 122 126 144 147 168 183 196 244 252 294 336 343 366 392 427 441 488 504 549 588 686 732 784 854 882 976 1008 1029 1098 1176 1281 1372 1464 1708 1764 2058 2196 2352 2401 2562 2744 2928 2989 3087 3416 3528 3843 4116 4392 4802 5124 5488 5978 6174 6832 7056 7203 7686 8232 8784 8967 9604 10248 11956 12348 14406 15372 16464 17934 19208 20496 20923 21609 23912 24696 26901 28812 30744 35868 38416 41846 43218 47824 49392 53802 57624 61488 62769 71736 83692 86436 107604 115248 125538 143472 146461 167384 172872 188307 215208 251076 292922 334768 345744 376614 430416 439383 502152 585844 753228 878766 1004304 1171688 1318149 1506456 1757532 2343376 2636298 3012912 3515064 5272596 7030128 10545192 21090384