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20033130 = 23513311657
BaseRepresentation
bin100110001101…
…0111001101010
31101200210021210
41030122321222
520112030010
61553213550
7332164425
oct114327152
941623253
1020033130
1110343207
1268612b6
1341c5530
1429369bc
151b5ab20
hex131ae6a

20033130 has 64 divisors (see below), whose sum is σ = 53480448. Its totient is φ = 4769280.

The previous prime is 20033093. The next prime is 20033137. The reversal of 20033130 is 3133002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20033137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11262 + ... + 12918.

It is an arithmetic number, because the mean of its divisors is an integer number (835632).

Almost surely, 220033130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26740224).

20033130 is an abundant number, since it is smaller than the sum of its proper divisors (33447318).

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

20033130 is a wasteful number, since it uses less digits than its factorization.

20033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 20033130 is about 4475.8384689352. The cubic root of 20033130 is about 271.5915600690.

Adding to 20033130 its reverse (3133002), we get a palindrome (23166132).

The spelling of 20033130 in words is "twenty million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 1657 2015 2418 3314 4030 4971 6045 8285 9942 12090 16570 21541 24855 43082 49710 51367 64623 102734 107705 129246 154101 215410 256835 308202 323115 513670 646230 667771 770505 1335542 1541010 2003313 3338855 4006626 6677710 10016565 20033130