Search a number
-
+
20201304 = 2331767739
BaseRepresentation
bin100110100001…
…1111101011000
31102000022222110
41031003331120
520132420204
62000552320
7333464634
oct115037530
942008873
1020201304
11104485a2
1269226a0
134253c46
14297bdc4
151b90889
hex1343f58

20201304 has 64 divisors (see below), whose sum is σ = 54345600. Its totient is φ = 6234624.

The previous prime is 20201303. The next prime is 20201329. The reversal of 20201304 is 40310202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 20201304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201303) 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 15 ways as a sum of consecutive naturals, for example, 26967 + ... + 27705.

It is an arithmetic number, because the mean of its divisors is an integer number (849150).

Almost surely, 220201304 is an apocalyptic number.

20201304 is a gapful number since it is divisible by the number (24) 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 20201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172800).

20201304 is an abundant number, since it is smaller than the sum of its proper divisors (34144296).

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

20201304 is a wasteful number, since it uses less digits than its factorization.

20201304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20201304 is about 4494.5860766037. The cubic root of 20201304 is about 272.3494283610.

Adding to 20201304 its reverse (40310202), we get a palindrome (60511506).

The spelling of 20201304 in words is "twenty million, two hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 739 804 1139 1478 1608 2217 2278 2956 3417 4434 4556 5912 6834 8868 9112 12563 13668 17736 25126 27336 37689 49513 50252 75378 99026 100504 148539 150756 198052 297078 301512 396104 594156 841721 1188312 1683442 2525163 3366884 5050326 6733768 10100652 20201304