Search a number
-
+
20461568 = 21197103
BaseRepresentation
bin100111000001…
…1100000000000
31102111112222212
41032003200000
520214232233
62010321252
7335630501
oct116034000
942445885
1020461568
1110606096
126a29228
13431554a
142a08ba8
151be2a48
hex1383800

20461568 has 48 divisors (see below), whose sum is σ = 41736240. Its totient is φ = 10027008.

The previous prime is 20461547. The next prime is 20461579. The reversal of 20461568 is 86516402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198605 + ... + 198707.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 220461568 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 20461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868120).

20461568 is an abundant number, since it is smaller than the sum of its proper divisors (21274672).

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

20461568 is an equidigital number, since it uses as much as digits as its factorization.

20461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 20461568 is about 4523.4464736526. The cubic root of 20461568 is about 273.5140479869.

The spelling of 20461568 in words is "twenty million, four hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 103 128 194 206 256 388 412 512 776 824 1024 1552 1648 2048 3104 3296 6208 6592 9991 12416 13184 19982 24832 26368 39964 49664 52736 79928 99328 105472 159856 198656 210944 319712 639424 1278848 2557696 5115392 10230784 20461568