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17102140 = 22511237191
BaseRepresentation
bin100000100111…
…1010100111100
31012011212201121
41001033110330
513334232030
61410320324
7265236316
oct101172474
935155647
1017102140
119721100
1258890a4
13370a413
1423b27b6
15177c47a
hex104f53c

17102140 has 72 divisors (see below), whose sum is σ = 40755456. Its totient is φ = 6019200.

The previous prime is 17102077. The next prime is 17102159. The reversal of 17102140 is 4120171.

It is a nialpdrome in base 11.

It is a congruent number.

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, 89445 + ... + 89635.

It is an arithmetic number, because the mean of its divisors is an integer number (566048).

Almost surely, 217102140 is an apocalyptic number.

17102140 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 17102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377728).

17102140 is an abundant number, since it is smaller than the sum of its proper divisors (23653316).

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

17102140 is a wasteful number, since it uses less digits than its factorization.

17102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 17102140 is about 4135.4733707280. The cubic root of 17102140 is about 257.6420933168.

The spelling of 17102140 in words is "seventeen million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 191 220 242 370 382 407 484 605 740 764 814 955 1210 1628 1910 2035 2101 2420 3820 4070 4202 4477 7067 8140 8404 8954 10505 14134 17908 21010 22385 23111 28268 35335 42020 44770 46222 70670 77737 89540 92444 115555 141340 155474 231110 310948 388685 462220 777370 855107 1554740 1710214 3420428 4275535 8551070 17102140