[go: up one dir, main page]

Search a number
-
+
20358580 = 22511293191
BaseRepresentation
bin100110110101…
…0010110110100
31102022022201111
41031222112310
520202433310
62004204404
7335021314
oct115522664
942268644
1020358580
1110545780
126999704
1342aa6c8
1429bd444
151bc228a
hex136a5b4

20358580 has 48 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 7145600.

The previous prime is 20358577. The next prime is 20358587. The reversal of 20358580 is 8585302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20358587) 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, 4785 + ... + 7975.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 220358580 is an apocalyptic number.

20358580 is a gapful number since it is divisible by the number (20) 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 20358580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

20358580 is an abundant number, since it is smaller than the sum of its proper divisors (27904460).

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

20358580 is a wasteful number, since it uses less digits than its factorization.

20358580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 20358580 is about 4512.0483153442. The cubic root of 20358580 is about 273.0543885697.

The spelling of 20358580 in words is "twenty million, three hundred fifty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 3191 6380 6382 12764 15955 31910 35101 63820 70202 92539 140404 175505 185078 351010 370156 462695 702020 925390 1017929 1850780 2035858 4071716 5089645 10179290 20358580