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10820437 is a prime number
BaseRepresentation
bin101001010001…
…101101010101
3202100201211221
4221101231111
510232223222
61023530341
7160654315
oct51215525
922321757
1010820437
116120611
1237599b1
13231b134
141619445
15e3b0c7
hexa51b55

10820437 has 2 divisors, whose sum is σ = 10820438. Its totient is φ = 10820436.

The previous prime is 10820413. The next prime is 10820473. The reversal of 10820437 is 73402801.

10820437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10820473) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10817521 + 2916 = 3289^2 + 54^2 .

It is an emirp because it is prime and its reverse (73402801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10820437 - 211 = 10818389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10820137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410218 + 5410219.

It is an arithmetic number, because the mean of its divisors is an integer number (5410219).

Almost surely, 210820437 is an apocalyptic number.

It is an amenable number.

10820437 is a deficient number, since it is larger than the sum of its proper divisors (1).

10820437 is an equidigital number, since it uses as much as digits as its factorization.

10820437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10820437 is about 3289.4432659646. The cubic root of 10820437 is about 221.1812290119.

It can be divided in two parts, 108204 and 37, that added together give a square (108241 = 3292).

The spelling of 10820437 in words is "ten million, eight hundred twenty thousand, four hundred thirty-seven".