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20786976 = 253372491
BaseRepresentation
bin100111101001…
…0111100100000
31110010002101000
41033102330200
520310140401
62021312000
7341454300
oct117227440
943102330
1020786976
1110808621
126b65600
1343ca6b2
142a91600
151c59186
hex13d2f20

20786976 has 144 divisors (see below), whose sum is σ = 70670880. Its totient is φ = 5927040.

The previous prime is 20786947. The next prime is 20786981. The reversal of 20786976 is 67968702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42091 + ... + 42581.

It is an arithmetic number, because the mean of its divisors is an integer number (490770).

Almost surely, 220786976 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 20786976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35335440).

20786976 is an abundant number, since it is smaller than the sum of its proper divisors (49883904).

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

20786976 is a wasteful number, since it uses less digits than its factorization.

20786976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 20786976 is about 4559.2736263576. The cubic root of 20786976 is about 274.9563611195.

The spelling of 20786976 in words is "twenty million, seven hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 491 504 588 672 756 784 864 882 982 1008 1176 1323 1473 1512 1568 1764 1964 2016 2352 2646 2946 3024 3437 3528 3928 4419 4704 5292 5892 6048 6874 7056 7856 8838 10311 10584 11784 13257 13748 14112 15712 17676 20622 21168 23568 24059 26514 27496 30933 35352 41244 42336 47136 48118 53028 54992 61866 70704 72177 82488 92799 96236 106056 109984 123732 141408 144354 164976 185598 192472 212112 216531 247464 288708 329952 371196 384944 424224 433062 494928 577416 649593 742392 769888 866124 989856 1154832 1299186 1484784 1732248 2309664 2598372 2969568 3464496 5196744 6928992 10393488 20786976