[go: up one dir, main page]

Search a number
-
+
21326500 = 22531317193
BaseRepresentation
bin101000101011…
…0101010100100
31111010111110101
41101112222210
520424422000
62041033444
7346162246
oct121265244
944114411
1021326500
1111046a08
127185884
134559140
142b92096
151d13e6a
hex1456aa4

21326500 has 96 divisors (see below), whose sum is σ = 53385696. Its totient is φ = 7372800.

The previous prime is 21326479. The next prime is 21326527. The reversal of 21326500 is 562312.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18249984 + 3076516 = 4272^2 + 1754^2 .

It is a zygodrome in base 9.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 110404 + ... + 110596.

It is an arithmetic number, because the mean of its divisors is an integer number (556101).

Almost surely, 221326500 is an apocalyptic number.

21326500 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 21326500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26692848).

21326500 is an abundant number, since it is smaller than the sum of its proper divisors (32059196).

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

21326500 is a wasteful number, since it uses less digits than its factorization.

21326500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 21326500 is about 4618.0623642389. The cubic root of 21326500 is about 277.3148942735.

Adding to 21326500 its reverse (562312), we get a palindrome (21888812).

The spelling of 21326500 in words is "twenty-one million, three hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 125 130 170 193 221 250 260 325 340 386 425 442 500 650 772 850 884 965 1105 1300 1625 1700 1930 2125 2210 2509 3250 3281 3860 4250 4420 4825 5018 5525 6500 6562 8500 9650 10036 11050 12545 13124 16405 19300 22100 24125 25090 27625 32810 42653 48250 50180 55250 62725 65620 82025 85306 96500 110500 125450 164050 170612 213265 250900 313625 328100 410125 426530 627250 820250 853060 1066325 1254500 1640500 2132650 4265300 5331625 10663250 21326500