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21075936 = 253779397
BaseRepresentation
bin101000001100…
…1011111100000
31110122202202020
41100121133200
520343412221
62031421440
7344066610
oct120313740
943582666
1021075936
1110995732
127084880
13449c08b
142b28a40
151cb4ac6
hex14197e0

21075936 has 96 divisors (see below), whose sum is σ = 64189440. Its totient is φ = 5930496.

The previous prime is 21075931. The next prime is 21075947. The reversal of 21075936 is 63957012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21075897 and 21075906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21075931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52890 + ... + 53286.

It is an arithmetic number, because the mean of its divisors is an integer number (668640).

Almost surely, 221075936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21075936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32094720).

21075936 is an abundant number, since it is smaller than the sum of its proper divisors (43113504).

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

21075936 is a wasteful number, since it uses less digits than its factorization.

21075936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 21075936 is about 4590.8535154152. The cubic root of 21075936 is about 276.2245599444.

The spelling of 21075936 in words is "twenty-one million, seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 397 474 553 632 672 794 948 1106 1191 1264 1588 1659 1896 2212 2382 2528 2779 3176 3318 3792 4424 4764 5558 6352 6636 7584 8337 8848 9528 11116 12704 13272 16674 17696 19056 22232 26544 31363 33348 38112 44464 53088 62726 66696 88928 94089 125452 133392 188178 219541 250904 266784 376356 439082 501808 658623 752712 878164 1003616 1317246 1505424 1756328 2634492 3010848 3512656 5268984 7025312 10537968 21075936