Search a number
-
+
21305025 = 36527167
BaseRepresentation
bin101000101000…
…1011011000001
31111002102000000
41101101123001
520423230100
62040350213
7346042530
oct121213301
944072000
1021305025
1111031865
127175369
13454c431
142b88317
151d0c900
hex14516c1

21305025 has 84 divisors (see below), whose sum is σ = 45538752. Its totient is φ = 9681120.

The previous prime is 21305003. The next prime is 21305027. The reversal of 21305025 is 52050312.

It is a happy number.

It is not a de Polignac number, because 21305025 - 27 = 21304897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21304989 and 21305007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21305027) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 127492 + ... + 127658.

It is an arithmetic number, because the mean of its divisors is an integer number (542128).

Almost surely, 221305025 is an apocalyptic number.

21305025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21305025 is an abundant number, since it is smaller than the sum of its proper divisors (24233727).

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

21305025 is an equidigital number, since it uses as much as digits as its factorization.

21305025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

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

The square root of 21305025 is about 4615.7366692653. The cubic root of 21305025 is about 277.2217810512.

Adding to 21305025 its reverse (52050312), we get a palindrome (73355337).

The spelling of 21305025 in words is "twenty-one million, three hundred five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 167 175 189 225 243 315 405 501 525 567 675 729 835 945 1169 1215 1503 1575 1701 2025 2505 2835 3507 3645 4175 4509 4725 5103 5845 6075 7515 8505 10521 12525 13527 14175 17535 18225 22545 25515 29225 31563 37575 40581 42525 52605 67635 87675 94689 112725 121743 127575 157815 202905 263025 284067 338175 473445 608715 789075 852201 1014525 1420335 2367225 3043575 4261005 7101675 21305025