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21720000 = 26354181
BaseRepresentation
bin101001011011…
…0101111000000
31111212111020110
41102312233000
521030020000
62053311320
7352421421
oct122665700
944774213
1021720000
1111295615
127335540
134666293
142c55648
151d90850
hex14b6bc0

21720000 has 140 divisors (see below), whose sum is σ = 72208136. Its totient is φ = 5760000.

The previous prime is 21719989. The next prime is 21720007. The reversal of 21720000 is 2712.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21720007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119910 + ... + 120090.

Almost surely, 221720000 is an apocalyptic number.

21720000 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 21720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36104068).

21720000 is an abundant number, since it is smaller than the sum of its proper divisors (50488136).

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

21720000 is an equidigital number, since it uses as much as digits as its factorization.

21720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 21720000 is about 4660.4720790924. The cubic root of 21720000 is about 279.0101099868.

Adding to 21720000 its reverse (2712), we get a palindrome (21722712).

The spelling of 21720000 in words is "twenty-one million, seven hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 181 192 200 240 250 300 320 362 375 400 480 500 543 600 625 724 750 800 905 960 1000 1086 1200 1250 1448 1500 1600 1810 1875 2000 2172 2400 2500 2715 2896 3000 3620 3750 4000 4344 4525 4800 5000 5430 5792 6000 7240 7500 8000 8688 9050 10000 10860 11584 12000 13575 14480 15000 17376 18100 20000 21720 22625 24000 27150 28960 30000 34752 36200 40000 43440 45250 54300 57920 60000 67875 72400 86880 90500 108600 113125 120000 135750 144800 173760 181000 217200 226250 271500 289600 339375 362000 434400 452500 543000 678750 724000 868800 905000 1086000 1357500 1448000 1810000 2172000 2715000 3620000 4344000 5430000 7240000 10860000 21720000