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21000320 = 2751119157
BaseRepresentation
bin101000000011…
…1000010000000
31110111221000122
41100013002000
520334002240
62030035412
7343333265
oct120070200
943457018
1021000320
1110943940
127048b68
134473833
142b0926c
151c9c4b5
hex1407080

21000320 has 128 divisors (see below), whose sum is σ = 58017600. Its totient is φ = 7188480.

The previous prime is 21000313. The next prime is 21000337. The reversal of 21000320 is 2300012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 21000298 and 21000307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133682 + ... + 133838.

Almost surely, 221000320 is an apocalyptic number.

21000320 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 21000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008800).

21000320 is an abundant number, since it is smaller than the sum of its proper divisors (37017280).

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

21000320 is a wasteful number, since it uses less digits than its factorization.

21000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 21000320 is about 4582.6106096853. The cubic root of 21000320 is about 275.8938189893.

Adding to 21000320 its reverse (2300012), we get a palindrome (23300332).

The spelling of 21000320 in words is "twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 157 160 176 190 209 220 304 314 320 352 380 418 440 608 628 640 704 760 785 836 880 1045 1216 1256 1408 1520 1570 1672 1727 1760 2090 2432 2512 2983 3040 3140 3344 3454 3520 4180 5024 5966 6080 6280 6688 6908 7040 8360 8635 10048 11932 12160 12560 13376 13816 14915 16720 17270 20096 23864 25120 26752 27632 29830 32813 33440 34540 47728 50240 55264 59660 65626 66880 69080 95456 100480 110528 119320 131252 133760 138160 164065 190912 221056 238640 262504 276320 328130 381824 477280 525008 552640 656260 954560 1050016 1105280 1312520 1909120 2100032 2625040 4200064 5250080 10500160 21000320