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21303400 = 2352293673
BaseRepresentation
bin101000101000…
…1000001101000
31111002022202211
41101101001220
520423202100
62040334504
7346035016
oct121210150
944068684
1021303400
1111030618
127174434
13454b781
142b878b6
151d0c1ba
hex1451068

21303400 has 48 divisors (see below), whose sum is σ = 51252300. Its totient is φ = 8225280.

The previous prime is 21303349. The next prime is 21303407. The reversal of 21303400 is 430312.

It can be written as a sum of positive squares in 6 ways, for example, as 3104644 + 18198756 = 1762^2 + 4266^2 .

It is not an unprimeable number, because it can be changed into a prime (21303407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3964 + ... + 7636.

Almost surely, 221303400 is an apocalyptic number.

21303400 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 21303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25626150).

21303400 is an abundant number, since it is smaller than the sum of its proper divisors (29948900).

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

21303400 is a wasteful number, since it uses less digits than its factorization.

21303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 21303400 is about 4615.5606376691. The cubic root of 21303400 is about 277.2147326851.

Adding to 21303400 its reverse (430312), we get a palindrome (21733712).

The spelling of 21303400 in words is "twenty-one million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 3673 5800 7346 14692 18365 29384 36730 73460 91825 106517 146920 183650 213034 367300 426068 532585 734600 852136 1065170 2130340 2662925 4260680 5325850 10651700 21303400