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17145090 = 2325296569
BaseRepresentation
bin100000101100…
…1110100000010
31012021001122100
41001121310002
513342120330
61411251230
7265505454
oct101316402
935231570
1017145090
1197503a6
1258a9b16
133723b31
1423c42d4
15178a060
hex1059d02

17145090 has 48 divisors (see below), whose sum is σ = 46121400. Its totient is φ = 4413696.

The previous prime is 17145067. The next prime is 17145091. The reversal of 17145090 is 9054171.

It can be written as a sum of positive squares in 4 ways, for example, as 16329681 + 815409 = 4041^2 + 903^2 .

It is a super-2 number, since 2×171450902 = 587908222216200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17145091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675 + ... + 5894.

Almost surely, 217145090 is an apocalyptic number.

17145090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17145090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23060700).

17145090 is an abundant number, since it is smaller than the sum of its proper divisors (28976310).

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

17145090 is a wasteful number, since it uses less digits than its factorization.

17145090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 17145090 is about 4140.6629903918. The cubic root of 17145090 is about 257.8575922230.

The spelling of 17145090 in words is "seventeen million, one hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 6569 13138 19707 32845 39414 59121 65690 98535 118242 190501 197070 295605 381002 571503 591210 952505 1143006 1714509 1905010 2857515 3429018 5715030 8572545 17145090