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21860000 = 25541093
BaseRepresentation
bin101001101100…
…0111010100000
31112010121021122
41103120322200
521044010000
62100311412
7353543531
oct123307240
945117248
1021860000
1111380818
1273a2568
1346b4c16
142c90688
151dbc085
hex14d8ea0

21860000 has 60 divisors (see below), whose sum is σ = 53828082. Its totient is φ = 8736000.

The previous prime is 21859987. The next prime is 21860057. The reversal of 21860000 is 6812.

It can be written as a sum of positive squares in 5 ways, for example, as 3984016 + 17875984 = 1996^2 + 4228^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19454 + ... + 20546.

Almost surely, 221860000 is an apocalyptic number.

21860000 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 21860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26914041).

21860000 is an abundant number, since it is smaller than the sum of its proper divisors (31968082).

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

21860000 is an equidigital number, since it uses as much as digits as its factorization.

21860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 21860000 is about 4675.4678910244. The cubic root of 21860000 is about 279.6082958209.

Adding to 21860000 its reverse (6812), we get a palindrome (21866812).

The spelling of 21860000 in words is "twenty-one million, eight 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 1093 1250 2000 2186 2500 4000 4372 5000 5465 8744 10000 10930 17488 20000 21860 27325 34976 43720 54650 87440 109300 136625 174880 218600 273250 437200 546500 683125 874400 1093000 1366250 2186000 2732500 4372000 5465000 10930000 21860000