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20768550 = 23521141307
BaseRepresentation
bin100111100111…
…0011100100110
31110002011002120
41033032130212
520304043200
62021050410
7341346465
oct117163446
943064076
1020768550
11107a57a0
126b56a06
1343c21aa
142a889dc
151c539a0
hex13ce726

20768550 has 96 divisors (see below), whose sum is σ = 57746304. Its totient is φ = 4896000.

The previous prime is 20768549. The next prime is 20768551. The reversal of 20768550 is 5586702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20768549) and next prime (20768551).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20768551) 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, 67497 + ... + 67803.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 220768550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20768550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28873152).

20768550 is an abundant number, since it is smaller than the sum of its proper divisors (36977754).

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

20768550 is a wasteful number, since it uses less digits than its factorization.

20768550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 20768550 is about 4557.2524617361. The cubic root of 20768550 is about 274.8750947917.

The spelling of 20768550 in words is "twenty million, seven hundred sixty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 41 50 55 66 75 82 110 123 150 165 205 246 275 307 330 410 451 550 614 615 825 902 921 1025 1230 1353 1535 1650 1842 2050 2255 2706 3070 3075 3377 4510 4605 6150 6754 6765 7675 9210 10131 11275 12587 13530 15350 16885 20262 22550 23025 25174 33770 33825 37761 46050 50655 62935 67650 75522 84425 101310 125870 138457 168850 188805 253275 276914 314675 377610 415371 506550 629350 692285 830742 944025 1384570 1888050 2076855 3461425 4153710 6922850 10384275 20768550