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17024020 = 22513411597
BaseRepresentation
bin100000011110…
…0010000010100
31012000220120021
41000330100110
513324232040
61404514524
7264462466
oct100742024
935026507
1017024020
119678442
12584ba44
1336b09b0
142392136
15176424a
hex103c414

17024020 has 48 divisors (see below), whose sum is σ = 39464208. Its totient is φ = 6128640.

The previous prime is 17024017. The next prime is 17024023. The reversal of 17024020 is 2042071.

It is an interprime number because it is at equal distance from previous prime (17024017) and next prime (17024023).

It can be written as a sum of positive squares in 8 ways, for example, as 7214596 + 9809424 = 2686^2 + 3132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 17023985 and 17024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17024023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9862 + ... + 11458.

It is an arithmetic number, because the mean of its divisors is an integer number (822171).

Almost surely, 217024020 is an apocalyptic number.

17024020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732104).

17024020 is an abundant number, since it is smaller than the sum of its proper divisors (22440188).

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

17024020 is a wasteful number, since it uses less digits than its factorization.

17024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 17024020 is about 4126.0174502782. The cubic root of 17024020 is about 257.2492043949.

Adding to 17024020 its reverse (2042071), we get a palindrome (19066091).

The spelling of 17024020 in words is "seventeen million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 1597 2132 2665 3194 5330 6388 7985 10660 15970 20761 31940 41522 65477 83044 103805 130954 207610 261908 327385 415220 654770 851201 1309540 1702402 3404804 4256005 8512010 17024020