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20807319 = 313677963
BaseRepresentation
bin100111101011…
…1111010010111
31110011010021110
41033113322113
520311313234
62021550103
7341600511
oct117277227
943133243
1020807319
1110821935
126b75333
134406a30
142a98bb1
151c601e9
hex13d7e97

20807319 has 16 divisors (see below), whose sum is σ = 30326912. Its totient is φ = 12611808.

The previous prime is 20807317. The next prime is 20807321. The reversal of 20807319 is 91370802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20807317) and next prime (20807321).

It is not a de Polignac number, because 20807319 - 21 = 20807317 is a prime.

It is a super-2 number, since 2×208073192 = 865889047935522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20807317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369 + ... + 6594.

It is an arithmetic number, because the mean of its divisors is an integer number (1895432).

Almost surely, 220807319 is an apocalyptic number.

20807319 is a deficient number, since it is larger than the sum of its proper divisors (9519593).

20807319 is a wasteful number, since it uses less digits than its factorization.

20807319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 20807319 is about 4561.5040282784. The cubic root of 20807319 is about 275.0460264560.

The spelling of 20807319 in words is "twenty million, eight hundred seven thousand, three hundred nineteen".

Divisors: 1 3 13 39 67 201 871 2613 7963 23889 103519 310557 533521 1600563 6935773 20807319