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17906993 = 135572473
BaseRepresentation
bin100010001001…
…1110100110001
31020200202202222
41010103310301
514041010433
61435450425
7305130656
oct104236461
936622688
1017906993
11a120875
125bb6a15
13392c870
142541c2d
15188ab98
hex1113d31

17906993 has 8 divisors (see below), whose sum is σ = 19326888. Its totient is φ = 16493184.

The previous prime is 17906983. The next prime is 17907011. The reversal of 17906993 is 39960971.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 17783089 = 352^2 + 4217^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 17906993 - 26 = 17906929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17906923) 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 7 ways as a sum of consecutive naturals, for example, 6005 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (2415861).

Almost surely, 217906993 is an apocalyptic number.

17906993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17906993 is a deficient number, since it is larger than the sum of its proper divisors (1419895).

17906993 is a wasteful number, since it uses less digits than its factorization.

17906993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043.

The product of its (nonzero) digits is 91854, while the sum is 44.

The square root of 17906993 is about 4231.6655113560. The cubic root of 17906993 is about 261.6219758602.

The spelling of 17906993 in words is "seventeen million, nine hundred six thousand, nine hundred ninety-three".

Divisors: 1 13 557 2473 7241 32149 1377461 17906993