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17820029 = 172197313
BaseRepresentation
bin100001111111…
…0100101111101
31020112100111002
41003332211331
514030220104
61433540045
7304316303
oct103764575
936470432
1017820029
11a0714a7
125b74625
1338cc0c6
14251c273
15187001e
hex10fe97d

17820029 has 12 divisors (see below), whose sum is σ = 19086804. Its totient is φ = 16633344.

The previous prime is 17820013. The next prime is 17820053. The reversal of 17820029 is 92002871.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1214404 + 16605625 = 1102^2 + 4075^2 .

It is not a de Polignac number, because 17820029 - 24 = 17820013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17819983 and 17820010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17822029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56777 + ... + 57089.

It is an arithmetic number, because the mean of its divisors is an integer number (1590567).

Almost surely, 217820029 is an apocalyptic number.

It is an amenable number.

17820029 is a deficient number, since it is larger than the sum of its proper divisors (1266775).

17820029 is a wasteful number, since it uses less digits than its factorization.

17820029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 17820029 is about 4221.3776187401. The cubic root of 17820029 is about 261.1977724248.

The spelling of 17820029 in words is "seventeen million, eight hundred twenty thousand, twenty-nine".

Divisors: 1 17 197 289 313 3349 5321 56933 61661 90457 1048237 17820029