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21336900 = 22352135471
BaseRepresentation
bin101000101100…
…1001101000100
31111011000201120
41101121031010
520430240100
62041153540
7346234464
oct121311504
944130646
1021336900
1111053802
12718b8b0
134560ab0
142b95ba4
151d170a0
hex1459344

21336900 has 72 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 5251200.

The previous prime is 21336881. The next prime is 21336907. The reversal of 21336900 is 963312.

It is a super-2 number, since 2×213369002 = 910526603220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21336907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165 + ... + 6635.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 221336900 is an apocalyptic number.

21336900 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 21336900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

21336900 is an abundant number, since it is smaller than the sum of its proper divisors (45158844).

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

21336900 is a wasteful number, since it uses less digits than its factorization.

21336900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 21336900 is about 4619.1882403730. The cubic root of 21336900 is about 277.3599650574.

The spelling of 21336900 in words is "twenty-one million, three hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5471 10942 16413 21884 27355 32826 54710 65652 71123 82065 109420 136775 142246 164130 213369 273550 284492 328260 355615 410325 426738 547100 711230 820650 853476 1066845 1422460 1641300 1778075 2133690 3556150 4267380 5334225 7112300 10668450 21336900