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20031330 = 23511101601
BaseRepresentation
bin100110001101…
…0011101100010
31101200200211010
41030122131202
520112000310
61553201350
7332156244
oct114323542
941620733
1020031330
1110341920
126860256
1341c4777
142936094
151b5a320
hex131a762

20031330 has 64 divisors (see below), whose sum is σ = 53053056. Its totient is φ = 4800000.

The previous prime is 20031313. The next prime is 20031331. The reversal of 20031330 is 3313002.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20031331) 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, 33030 + ... + 33630.

It is an arithmetic number, because the mean of its divisors is an integer number (828954).

Almost surely, 220031330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26526528).

20031330 is an abundant number, since it is smaller than the sum of its proper divisors (33021726).

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

20031330 is a wasteful number, since it uses less digits than its factorization.

20031330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723.

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

The square root of 20031330 is about 4475.6373847755. The cubic root of 20031330 is about 271.5834255529.

Adding to 20031330 its reverse (3313002), we get a palindrome (23344332).

It can be divided in two parts, 2003 and 1330, that added together give a palindrome (3333).

The spelling of 20031330 in words is "twenty million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 601 606 1010 1111 1202 1515 1803 2222 3005 3030 3333 3606 5555 6010 6611 6666 9015 11110 13222 16665 18030 19833 33055 33330 39666 60701 66110 99165 121402 182103 198330 303505 364206 607010 667711 910515 1335422 1821030 2003133 3338555 4006266 6677110 10015665 20031330