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21253500 = 2232534723
BaseRepresentation
bin101000100010…
…0110101111100
31110222210022200
41101010311330
520420103000
62035311500
7345436362
oct121046574
943883280
1021253500
1110aa7084
12714b590
134531b48
142b73632
151cec500
hex1444d7c

21253500 has 72 divisors (see below), whose sum is σ = 67061904. Its totient is φ = 5666400.

The previous prime is 21253499. The next prime is 21253513. The reversal of 21253500 is 535212.

It is a happy number.

It is a super-2 number, since 2×212535002 = 903422524500000, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2139 + ... + 6861.

Almost surely, 221253500 is an apocalyptic number.

21253500 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 21253500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530952).

21253500 is an abundant number, since it is smaller than the sum of its proper divisors (45808404).

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

21253500 is a wasteful number, since it uses less digits than its factorization.

21253500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 21253500 is about 4610.1518413172. The cubic root of 21253500 is about 276.9981189079.

Adding to 21253500 its reverse (535212), we get a palindrome (21788712).

It can be divided in two parts, 2125 and 3500, that added together give a square (5625 = 752).

The spelling of 21253500 in words is "twenty-one million, two hundred fifty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 4723 9446 14169 18892 23615 28338 42507 47230 56676 70845 85014 94460 118075 141690 170028 212535 236150 283380 354225 425070 472300 590375 708450 850140 1062675 1180750 1416900 1771125 2125350 2361500 3542250 4250700 5313375 7084500 10626750 21253500