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17880993 = 341316981
BaseRepresentation
bin100010000110…
…1011110100001
31020122110010000
41010031132201
514034142433
61435130213
7304662114
oct104153641
936573100
1017880993
11a103289
125ba3969
133920a90
14253657b
151883113
hex110d7a1

17880993 has 20 divisors (see below), whose sum is σ = 28767508. Its totient is φ = 11003040.

The previous prime is 17880977. The next prime is 17880997. The reversal of 17880993 is 39908871.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 6671889 = 3348^2 + 2583^2 .

It is not a de Polignac number, because 17880993 - 24 = 17880977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17880997) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7438 + ... + 9543.

Almost surely, 217880993 is an apocalyptic number.

17880993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17880993 is a deficient number, since it is larger than the sum of its proper divisors (10886515).

17880993 is a wasteful number, since it uses less digits than its factorization.

17880993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17006 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 17880993 is about 4228.5923189638. The cubic root of 17880993 is about 261.4952941376.

The spelling of 17880993 in words is "seventeen million, eight hundred eighty thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 16981 50943 152829 220753 458487 662259 1375461 1986777 5960331 17880993