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20729970 = 2325172797
BaseRepresentation
bin100111100010…
…1000001110010
31110000012011200
41033011001302
520301324340
62020152030
7341126142
oct117050162
943005150
1020729970
1110779808
126b38616
1343aa771
142a78922
151c47330
hex13c5072

20729970 has 72 divisors (see below), whose sum is σ = 57326724. Its totient is φ = 5196288.

The previous prime is 20729939. The next prime is 20729981. The reversal of 20729970 is 7992702.

It can be written as a sum of positive squares in 6 ways, for example, as 14722569 + 6007401 = 3837^2 + 2451^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25612 + ... + 26408.

Almost surely, 220729970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20729970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28663362).

20729970 is an abundant number, since it is smaller than the sum of its proper divisors (36596754).

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

20729970 is a wasteful number, since it uses less digits than its factorization.

20729970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 20729970 is about 4553.0176806158. The cubic root of 20729970 is about 274.7047851261.

The spelling of 20729970 in words is "twenty million, seven hundred twenty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 797 867 1445 1530 1594 1734 2391 2601 2890 3985 4335 4782 5202 7173 7970 8670 11955 13005 13549 14346 23910 26010 27098 35865 40647 67745 71730 81294 121941 135490 203235 230333 243882 406470 460666 609705 690999 1151665 1219410 1381998 2072997 2303330 3454995 4145994 6909990 10364985 20729970