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21300320 = 2551741191
BaseRepresentation
bin101000101000…
…0010001100000
31111002011112202
41101100101200
520423102240
62040312332
7346023026
oct121202140
944064482
1021300320
1111029278
1271726a8
13454a252
142b86716
151d0b315
hex1450460

21300320 has 96 divisors (see below), whose sum is σ = 54867456. Its totient is φ = 7782400.

The previous prime is 21300319. The next prime is 21300341. The reversal of 21300320 is 2300312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111425 + ... + 111615.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 221300320 is an apocalyptic number.

21300320 is a gapful number since it is divisible by the number (20) 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 21300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27433728).

21300320 is an abundant number, since it is smaller than the sum of its proper divisors (33567136).

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

21300320 is a wasteful number, since it uses less digits than its factorization.

21300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 21300320 is about 4615.2269716667. The cubic root of 21300320 is about 277.2013723369.

Adding to 21300320 its reverse (2300312), we get a palindrome (23600632).

The spelling of 21300320 in words is "twenty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 191 205 272 328 340 382 410 544 656 680 697 764 820 955 1312 1360 1394 1528 1640 1910 2720 2788 3056 3247 3280 3485 3820 5576 6112 6494 6560 6970 7640 7831 11152 12988 13940 15280 15662 16235 22304 25976 27880 30560 31324 32470 39155 51952 55760 62648 64940 78310 103904 111520 125296 129880 133127 156620 250592 259760 266254 313240 519520 532508 626480 665635 1065016 1252960 1331270 2130032 2662540 4260064 5325080 10650160 21300320