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20052090 = 2335233229
BaseRepresentation
bin100110001111…
…1100001111010
31101201202022000
41030133201322
520113131330
61553441430
7332303622
oct114374172
941652260
1020052090
1110356483
126870276
134201056
14293d882
151b61560
hex131f87a

20052090 has 64 divisors (see below), whose sum is σ = 55814400. Its totient is φ = 5113152.

The previous prime is 20052077. The next prime is 20052091. The reversal of 20052090 is 9025002.

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 (20052091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4596 + ... + 7824.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 220052090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20052090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

20052090 is an abundant number, since it is smaller than the sum of its proper divisors (35762310).

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

20052090 is a wasteful number, since it uses less digits than its factorization.

20052090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20052090 is about 4477.9560069299. The cubic root of 20052090 is about 271.6772140551.

Adding to 20052090 its reverse (9025002), we get a palindrome (29077092).

It can be divided in two parts, 2005 and 2090, that added together give a triangular number (4095 = T90).

The spelling of 20052090 in words is "twenty million, fifty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 3229 6210 6458 9687 16145 19374 29061 32290 48435 58122 74267 87183 96870 145305 148534 174366 222801 290610 371335 435915 445602 668403 742670 871830 1114005 1336806 2005209 2228010 3342015 4010418 6684030 10026045 20052090