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21064500 = 22325331151
BaseRepresentation
bin101000001011…
…0101100110100
31110122012001200
41100112230310
520343031000
62031252500
7344021352
oct120265464
943565050
1021064500
1110988086
12707a130
134496b02
142b247d2
151cb1500
hex1416b34

21064500 has 144 divisors (see below), whose sum is σ = 69049344. Its totient is φ = 5400000.

The previous prime is 21064499. The next prime is 21064523. The reversal of 21064500 is 546012.

It is a happy number.

21064500 is a `hidden beast` number, since 21 + 0 + 645 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 139425 + ... + 139575.

Almost surely, 221064500 is an apocalyptic number.

21064500 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 21064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34524672).

21064500 is an abundant number, since it is smaller than the sum of its proper divisors (47984844).

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

21064500 is a wasteful number, since it uses less digits than its factorization.

21064500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21064500 is about 4589.6078263834. The cubic root of 21064500 is about 276.1745902287.

The spelling of 21064500 in words is "twenty-one million, sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 125 150 151 155 180 186 225 250 279 300 302 310 372 375 450 453 465 500 558 604 620 750 755 775 900 906 930 1116 1125 1359 1395 1500 1510 1550 1812 1860 2250 2265 2325 2718 2790 3020 3100 3775 3875 4500 4530 4650 4681 5436 5580 6795 6975 7550 7750 9060 9300 9362 11325 11625 13590 13950 14043 15100 15500 18724 18875 22650 23250 23405 27180 27900 28086 33975 34875 37750 42129 45300 46500 46810 56172 56625 67950 69750 70215 75500 84258 93620 113250 117025 135900 139500 140430 168516 169875 210645 226500 234050 280860 339750 351075 421290 468100 585125 679500 702150 842580 1053225 1170250 1404300 1755375 2106450 2340500 3510750 4212900 5266125 7021500 10532250 21064500