Search a number
-
+
20260000 = 25541013
BaseRepresentation
bin100110101001…
…0010010100000
31102010022111101
41031102102200
520141310000
62002124144
7334131025
oct115222240
942108441
1020260000
1110488702
126950654
134274887
14299554c
151ba2e6a
hex13524a0

20260000 has 60 divisors (see below), whose sum is σ = 49891842. Its totient is φ = 8096000.

The previous prime is 20259983. The next prime is 20260001. The reversal of 20260000 is 6202.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1354896 + 18905104 = 1164^2 + 4348^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20260001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19494 + ... + 20506.

Almost surely, 220260000 is an apocalyptic number.

20260000 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 20260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24945921).

20260000 is an abundant number, since it is smaller than the sum of its proper divisors (29631842).

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

20260000 is an equidigital number, since it uses as much as digits as its factorization.

20260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20260000 is about 4501.1109739708. The cubic root of 20260000 is about 272.6129487164.

Adding to 20260000 its reverse (6202), we get a palindrome (20266202).

The spelling of 20260000 in words is "twenty million, two hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1013 1250 2000 2026 2500 4000 4052 5000 5065 8104 10000 10130 16208 20000 20260 25325 32416 40520 50650 81040 101300 126625 162080 202600 253250 405200 506500 633125 810400 1013000 1266250 2026000 2532500 4052000 5065000 10130000 20260000