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20261384 = 23111389199
BaseRepresentation
bin100110101001…
…0101000001000
31102010101101122
41031102220020
520141331014
62002134412
7334135043
oct115225010
942111348
1020261384
1110489750
126951408
1342753b0
142995c5a
151ba358e
hex1352a08

20261384 has 64 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 8363520.

The previous prime is 20261363. The next prime is 20261407. The reversal of 20261384 is 48316202.

It is a super-3 number, since 3×202613843 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101717 + ... + 101915.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 220261384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20261384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20261384 is an abundant number, since it is smaller than the sum of its proper divisors (25098616).

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

20261384 is a wasteful number, since it uses less digits than its factorization.

20261384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 20261384 is about 4501.2647111673. The cubic root of 20261384 is about 272.6191561487.

Adding to 20261384 its reverse (48316202), we get a palindrome (68577586).

The spelling of 20261384 in words is "twenty million, two hundred sixty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 89 104 143 178 199 286 356 398 572 712 796 979 1144 1157 1592 1958 2189 2314 2587 3916 4378 4628 5174 7832 8756 9256 10348 12727 17512 17711 20696 25454 28457 35422 50908 56914 70844 101816 113828 141688 194821 227656 230243 389642 460486 779284 920972 1558568 1841944 2532673 5065346 10130692 20261384