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20768454 = 2337247167
BaseRepresentation
bin100111100111…
…0011011000110
31110002010222000
41033032123012
520304042304
62021050130
7341346300
oct117163306
943063860
1020768454
11107a5713
126b56946
1343c2135
142a88970
151c53939
hex13ce6c6

20768454 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 5772816.

The previous prime is 20768453. The next prime is 20768467. The reversal of 20768454 is 45486702.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20768453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124279 + ... + 124445.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 220768454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20768454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

20768454 is an abundant number, since it is smaller than the sum of its proper divisors (34389306).

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

20768454 is a wasteful number, since it uses less digits than its factorization.

20768454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 20768454 is about 4557.2419290619. The cubic root of 20768454 is about 274.8746712659.

The spelling of 20768454 in words is "twenty million, seven hundred sixty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 49 54 63 94 98 126 141 147 167 189 282 294 329 334 378 423 441 501 658 846 882 987 1002 1169 1269 1323 1503 1974 2303 2338 2538 2646 2961 3006 3507 4509 4606 5922 6909 7014 7849 8183 8883 9018 10521 13818 15698 16366 17766 20727 21042 23547 24549 31563 41454 47094 49098 54943 62181 63126 70641 73647 109886 124362 141282 147294 164829 211923 220941 329658 384601 423846 441882 494487 769202 988974 1153803 1483461 2307606 2966922 3461409 6922818 10384227 20768454