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21190000 = 245413163
BaseRepresentation
bin101000011010…
…1010101110000
31110212120012211
41100311111300
520411040000
62034101504
7345053266
oct120652560
943776184
1021190000
1110a633a7
12711a894
13450bc80
142b58436
151cd87ba
hex1435570

21190000 has 100 divisors (see below), whose sum is σ = 55588456. Its totient is φ = 7776000.

The previous prime is 21189977. The next prime is 21190003. The reversal of 21190000 is 9112.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×211900002 = 898032200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21190003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129919 + ... + 130081.

Almost surely, 221190000 is an apocalyptic number.

21190000 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 21190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794228).

21190000 is an abundant number, since it is smaller than the sum of its proper divisors (34398456).

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

21190000 is a wasteful number, since it uses less digits than its factorization.

21190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 21190000 is about 4603.2597145936. The cubic root of 21190000 is about 276.7219772967.

Adding to 21190000 its reverse (9112), we get a palindrome (21199112).

The spelling of 21190000 in words is "twenty-one million, one hundred ninety thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 163 200 208 250 260 325 326 400 500 520 625 650 652 815 1000 1040 1250 1300 1304 1625 1630 2000 2119 2500 2600 2608 3250 3260 4075 4238 5000 5200 6500 6520 8125 8150 8476 10000 10595 13000 13040 16250 16300 16952 20375 21190 26000 32500 32600 33904 40750 42380 52975 65000 65200 81500 84760 101875 105950 130000 163000 169520 203750 211900 264875 326000 407500 423800 529750 815000 847600 1059500 1324375 1630000 2119000 2648750 4238000 5297500 10595000 21190000