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17082020 = 2251734937
BaseRepresentation
bin100000100101…
…0011010100100
31012010212010102
41001022122210
513333111040
61410043232
7265123544
oct101123244
935125112
1017082020
119707a7a
125879518
133701207
1423a9324
151776515
hex104a6a4

17082020 has 24 divisors (see below), whose sum is σ = 36086904. Its totient is φ = 6791936.

The previous prime is 17082017. The next prime is 17082041. The reversal of 17082020 is 2028071.

It can be written as a sum of positive squares in 4 ways, for example, as 4351396 + 12730624 = 2086^2 + 3568^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 17081983 and 17082001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992 + ... + 5928.

It is an arithmetic number, because the mean of its divisors is an integer number (1503621).

Almost surely, 217082020 is an apocalyptic number.

17082020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17082020 is an abundant number, since it is smaller than the sum of its proper divisors (19004884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17082020 is a wasteful number, since it uses less digits than its factorization.

17082020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 17082020 is about 4133.0400433579. The cubic root of 17082020 is about 257.5410183816.

The spelling of 17082020 in words is "seventeen million, eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 4937 9874 19748 24685 49370 98740 854101 1708202 3416404 4270505 8541010 17082020