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21368320 = 29517491
BaseRepresentation
bin101000110000…
…0111000000000
31111012121211021
41101200320000
520432241240
62041555224
7346425211
oct121407000
944177737
1021368320
1111075376
1271a5b14
13457219c
142ba3408
151d2154a
hex1460e00

21368320 has 80 divisors (see below), whose sum is σ = 54358128. Its totient is φ = 8028160.

The previous prime is 21368309. The next prime is 21368353. The reversal of 21368320 is 2386312.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 43275 + ... + 43765.

Almost surely, 221368320 is an apocalyptic number.

21368320 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 21368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27179064).

21368320 is an abundant number, since it is smaller than the sum of its proper divisors (32989808).

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

21368320 is an equidigital number, since it uses as much as digits as its factorization.

21368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 21368320 is about 4622.5880197136. The cubic root of 21368320 is about 277.4960419315.

The spelling of 21368320 in words is "twenty-one million, three hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 491 512 544 640 680 982 1088 1280 1360 1964 2176 2455 2560 2720 3928 4352 4910 5440 7856 8347 8704 9820 10880 15712 16694 19640 21760 31424 33388 39280 41735 43520 62848 66776 78560 83470 125696 133552 157120 166940 251392 267104 314240 333880 534208 628480 667760 1068416 1256960 1335520 2136832 2671040 4273664 5342080 10684160 21368320