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17380530 = 23251131709
BaseRepresentation
bin100001001001…
…1010010110010
31012201000121100
41002103102302
513422134110
61420305230
7300506046
oct102232262
935630540
1017380530
1198a1282
1259a2216
1337a704b
142446026
1517d4bc0
hex10934b2

17380530 has 48 divisors (see below), whose sum is σ = 45615960. Its totient is φ = 4591104.

The previous prime is 17380513. The next prime is 17380567. The reversal of 17380530 is 3508371.

It can be written as a sum of positive squares in 4 ways, for example, as 5745609 + 11634921 = 2397^2 + 3411^2 .

It is a junction number, because it is equal to n+sod(n) for n = 17380494 and 17380503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9316 + ... + 11024.

Almost surely, 217380530 is an apocalyptic number.

17380530 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 17380530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22807980).

17380530 is an abundant number, since it is smaller than the sum of its proper divisors (28235430).

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

17380530 is a wasteful number, since it uses less digits than its factorization.

17380530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 17380530 is about 4168.9962820804. The cubic root of 17380530 is about 259.0325485945.

The spelling of 17380530 in words is "seventeen million, three hundred eighty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 1709 2034 3390 3418 5085 5127 8545 10170 10254 15381 17090 25635 30762 51270 76905 153810 193117 386234 579351 965585 1158702 1738053 1931170 2896755 3476106 5793510 8690265 17380530