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21707136 = 273311571
BaseRepresentation
bin101001011001…
…1100110000000
31111211211121000
41102303212000
521024112021
62053132000
7352336053
oct122634600
944754530
1021707136
1111286990
12732a000
134660479
142c50a9a
151d8bb26
hex14b3980

21707136 has 128 divisors (see below), whose sum is σ = 70012800. Its totient is φ = 6566400.

The previous prime is 21707117. The next prime is 21707137. The reversal of 21707136 is 63170712.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21707137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37731 + ... + 38301.

It is an arithmetic number, because the mean of its divisors is an integer number (546975).

Almost surely, 221707136 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 21707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006400).

21707136 is an abundant number, since it is smaller than the sum of its proper divisors (48305664).

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

21707136 is a wasteful number, since it uses less digits than its factorization.

21707136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 21707136 is about 4659.0917569844. The cubic root of 21707136 is about 278.9550164498.

Adding to 21707136 its reverse (63170712), we get a palindrome (84877848).

The spelling of 21707136 in words is "twenty-one million, seven hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 571 576 594 704 792 864 1056 1142 1152 1188 1408 1584 1713 1728 2112 2284 2376 3168 3426 3456 4224 4568 4752 5139 6281 6336 6852 9136 9504 10278 12562 12672 13704 15417 18272 18843 19008 20556 25124 27408 30834 36544 37686 38016 41112 50248 54816 56529 61668 73088 75372 82224 100496 109632 113058 123336 150744 164448 169587 200992 219264 226116 246672 301488 328896 339174 401984 452232 493344 602976 657792 678348 803968 904464 986688 1205952 1356696 1808928 1973376 2411904 2713392 3617856 5426784 7235712 10853568 21707136