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20955264 = 27311341
BaseRepresentation
bin100111111110…
…0000010000000
31110102122012220
41033330002000
520331032024
62025051040
7343055031
oct117740200
943378186
1020955264
1110913000
127026a80
134459185
142ad6a88
151c8de79
hex13fc080

20955264 has 128 divisors (see below), whose sum is σ = 62717760. Its totient is φ = 6195200.

The previous prime is 20955251. The next prime is 20955293. The reversal of 20955264 is 46255902.

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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511084 + ... + 511124.

Almost surely, 220955264 is an apocalyptic number.

20955264 is a gapful number since it is divisible by the number (24) 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 20955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31358880).

20955264 is an abundant number, since it is smaller than the sum of its proper divisors (41762496).

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

20955264 is an equidigital number, since it uses as much as digits as its factorization.

20955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 20955264 is about 4577.6919948813. The cubic root of 20955264 is about 275.6963684666.

The spelling of 20955264 in words is "twenty million, nine hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 121 123 128 132 164 176 192 242 246 264 328 352 363 384 451 484 492 528 656 704 726 902 968 984 1056 1312 1331 1353 1408 1452 1804 1936 1968 2112 2624 2662 2706 2904 3608 3872 3936 3993 4224 4961 5248 5324 5412 5808 7216 7744 7872 7986 9922 10648 10824 11616 14432 14883 15488 15744 15972 19844 21296 21648 23232 28864 29766 31944 39688 42592 43296 46464 54571 57728 59532 63888 79376 85184 86592 109142 119064 127776 158752 163713 170368 173184 218284 238128 255552 317504 327426 436568 476256 511104 635008 654852 873136 952512 1309704 1746272 1905024 2619408 3492544 5238816 6985088 10477632 20955264