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20069010 = 232513171009
BaseRepresentation
bin100110010001…
…1101010010010
31101202121111200
41030203222102
520114202020
61554052030
7332404143
oct114435222
941677450
1020069010
1110368165
12687a016
134208970
142945aca
151b66590
hex1323a92

20069010 has 96 divisors (see below), whose sum is σ = 59557680. Its totient is φ = 4644864.

The previous prime is 20068999. The next prime is 20069017. The reversal of 20069010 is 1096002.

It can be written as a sum of positive squares in 8 ways, for example, as 5803281 + 14265729 = 2409^2 + 3777^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20069017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19386 + ... + 20394.

Almost surely, 220069010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20069010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29778840).

20069010 is an abundant number, since it is smaller than the sum of its proper divisors (39488670).

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

20069010 is a wasteful number, since it uses less digits than its factorization.

20069010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20069010 is about 4479.8448633853. The cubic root of 20069010 is about 271.7536065267.

The spelling of 20069010 in words is "twenty million, sixty-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1009 1105 1170 1326 1530 1989 2018 2210 3027 3315 3978 5045 6054 6630 9081 9945 10090 13117 15135 17153 18162 19890 26234 30270 34306 39351 45405 51459 65585 78702 85765 90810 102918 118053 131170 154377 171530 196755 222989 236106 257295 308754 393510 445978 514590 590265 668967 771885 1114945 1180530 1337934 1543770 2006901 2229890 3344835 4013802 6689670 10034505 20069010