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17780093 = 157269421
BaseRepresentation
bin100001111010…
…0110101111101
31020110022200222
41003310311331
514022430333
61433031125
7304062002
oct103646575
936408628
1017780093
11a0444a1
125b554a5
1338b6b86
14250b8a9
151863298
hex10f4d7d

17780093 has 8 divisors (see below), whose sum is σ = 18002520. Its totient is φ = 17559360.

The previous prime is 17780071. The next prime is 17780107. The reversal of 17780093 is 39008771.

It can be written as a sum of positive squares in 4 ways, for example, as 1923769 + 15856324 = 1387^2 + 3982^2 .

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 17780093 - 28 = 17779837 is a prime.

It is a super-2 number, since 2×177800932 = 632263414177298, 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 (17788093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42023 + ... + 42443.

It is an arithmetic number, because the mean of its divisors is an integer number (2250315).

Almost surely, 217780093 is an apocalyptic number.

It is an amenable number.

17780093 is a deficient number, since it is larger than the sum of its proper divisors (222427).

17780093 is a wasteful number, since it uses less digits than its factorization.

17780093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 17780093 is about 4216.6447562013. The cubic root of 17780093 is about 261.0025053218.

The spelling of 17780093 in words is "seventeen million, seven hundred eighty thousand, ninety-three".

Divisors: 1 157 269 421 42233 66097 113249 17780093