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21407300 = 2252192593
BaseRepresentation
bin101000110101…
…0011001000100
31111021121021222
41101222121010
520440013200
62042455512
7346646645
oct121523104
944247258
1021407300
11110a1692
127204598
134586b55
142bb36cc
151d2cd85
hex146a644

21407300 has 54 divisors (see below), whose sum is σ = 49110138. Its totient is φ = 8098560.

The previous prime is 21407297. The next prime is 21407317. The reversal of 21407300 is 370412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1976836 + 19430464 = 1406^2 + 4408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35804 + ... + 36396.

It is an arithmetic number, because the mean of its divisors is an integer number (909447).

Almost surely, 221407300 is an apocalyptic number.

21407300 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 21407300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555069).

21407300 is an abundant number, since it is smaller than the sum of its proper divisors (27702838).

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

21407300 is a wasteful number, since it uses less digits than its factorization.

21407300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 21407300 is about 4626.8023515166. The cubic root of 21407300 is about 277.6646751395.

Adding to 21407300 its reverse (370412), we get a palindrome (21777712).

The spelling of 21407300 in words is "twenty-one million, four hundred seven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 593 722 950 1186 1444 1805 1900 2372 2965 3610 5930 7220 9025 11267 11860 14825 18050 22534 29650 36100 45068 56335 59300 112670 214073 225340 281675 428146 563350 856292 1070365 1126700 2140730 4281460 5351825 10703650 21407300