Search a number
-
+
20351000 = 235347433
BaseRepresentation
bin100110110100…
…0100000011000
31102021221022202
41031220200120
520202213000
62004105332
7334660235
oct115504030
942257282
1020351000
111054000a
126995248
1342a7117
1429ba78c
151bbedd5
hex1368818

20351000 has 64 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 7948800.

The previous prime is 20350991. The next prime is 20351017. The reversal of 20351000 is 15302.

It is a congruent number.

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, 46784 + ... + 47216.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 220351000 is an apocalyptic number.

20351000 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 20351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

20351000 is an abundant number, since it is smaller than the sum of its proper divisors (28395880).

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

20351000 is a wasteful number, since it uses less digits than its factorization.

20351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 20351000 is about 4511.2082638690. The cubic root of 20351000 is about 273.0204960751.

Adding to 20351000 its reverse (15302), we get a palindrome (20366302).

The spelling of 20351000 in words is "twenty million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 433 470 500 866 940 1000 1175 1732 1880 2165 2350 3464 4330 4700 5875 8660 9400 10825 11750 17320 20351 21650 23500 40702 43300 47000 54125 81404 86600 101755 108250 162808 203510 216500 407020 433000 508775 814040 1017550 2035100 2543875 4070200 5087750 10175500 20351000