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20729160 = 2332571811
BaseRepresentation
bin100111100010…
…0110101001000
31110000011001200
41033010311020
520301313120
62020144200
7341123604
oct117046510
943004050
1020729160
1110779141
126b38060
1343aa29a
142a78504
151c46e90
hex13c4d48

20729160 has 96 divisors (see below), whose sum is σ = 68402880. Its totient is φ = 5443200.

The previous prime is 20729131. The next prime is 20729179. The reversal of 20729160 is 6192702.

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 23 ways as a sum of consecutive naturals, for example, 25155 + ... + 25965.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 220729160 is an apocalyptic number.

20729160 is a gapful number since it is divisible by the number (20) 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 20729160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201440).

20729160 is an abundant number, since it is smaller than the sum of its proper divisors (47673720).

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

20729160 is a wasteful number, since it uses less digits than its factorization.

20729160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20729160 is about 4552.9287277532. The cubic root of 20729160 is about 274.7012071538.

The spelling of 20729160 in words is "twenty million, seven hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 811 852 1065 1278 1420 1622 1704 2130 2433 2556 2840 3195 3244 4055 4260 4866 5112 6390 6488 7299 8110 8520 9732 12165 12780 14598 16220 19464 24330 25560 29196 32440 36495 48660 57581 58392 72990 97320 115162 145980 172743 230324 287905 291960 345486 460648 518229 575810 690972 863715 1036458 1151620 1381944 1727430 2072916 2303240 2591145 3454860 4145832 5182290 6909720 10364580 20729160