Search a number
-
+
10688473 is a prime number
BaseRepresentation
bin101000110001…
…011111011001
3202010000211101
4220301133121
510214012343
61021031401
7156564505
oct50613731
922100741
1010688473
116040454
1236b5561
1322a3053
1415c3305
15e11e4d
hexa317d9

10688473 has 2 divisors, whose sum is σ = 10688474. Its totient is φ = 10688472.

The previous prime is 10688453. The next prime is 10688477. The reversal of 10688473 is 37488601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10679824 + 8649 = 3268^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 10688473 - 29 = 10687961 is a prime.

It is a super-2 number, since 2×106884732 = 228486910143458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10688477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5344236 + 5344237.

It is an arithmetic number, because the mean of its divisors is an integer number (5344237).

Almost surely, 210688473 is an apocalyptic number.

It is an amenable number.

10688473 is a deficient number, since it is larger than the sum of its proper divisors (1).

10688473 is an equidigital number, since it uses as much as digits as its factorization.

10688473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 10688473 is about 3269.3230186080. The cubic root of 10688473 is about 220.2783872506.

The spelling of 10688473 in words is "ten million, six hundred eighty-eight thousand, four hundred seventy-three".