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21192000 = 26353883
BaseRepresentation
bin101000011010…
…1110101000000
31110212122221220
41100311311000
520411121000
62034115040
7345062154
oct120656500
943778856
1021192000
1110a64955
12711ba80
13450cb5b
142b59064
151cd91a0
hex1435d40

21192000 has 112 divisors (see below), whose sum is σ = 70055232. Its totient is φ = 5644800.

The previous prime is 21191999. The next prime is 21192007. The reversal of 21192000 is 29112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21192007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23559 + ... + 24441.

Almost surely, 221192000 is an apocalyptic number.

21192000 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 21192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35027616).

21192000 is an abundant number, since it is smaller than the sum of its proper divisors (48863232).

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

21192000 is an equidigital number, since it uses as much as digits as its factorization.

21192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 21192000 is about 4603.4769468305. The cubic root of 21192000 is about 276.7306830784.

The spelling of 21192000 in words is "twenty-one million, one hundred ninety-two 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 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 883 960 1000 1200 1500 1600 1766 2000 2400 2649 3000 3532 4000 4415 4800 5298 6000 7064 8000 8830 10596 12000 13245 14128 17660 21192 22075 24000 26490 28256 35320 42384 44150 52980 56512 66225 70640 84768 88300 105960 110375 132450 141280 169536 176600 211920 220750 264900 282560 331125 353200 423840 441500 529800 662250 706400 847680 883000 1059600 1324500 1412800 1766000 2119200 2649000 3532000 4238400 5298000 7064000 10596000 21192000