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17913980 = 2257199643
BaseRepresentation
bin100010001010…
…1100001111100
31020201010100202
41010111201330
514041221410
61435543032
7305160230
oct104254174
936633322
1017913980
11a126047
125bbaa78
133932ab6
1425445c0
15188cca5
hex111587c

17913980 has 48 divisors (see below), whose sum is σ = 43276800. Its totient is φ = 6101568.

The previous prime is 17913953. The next prime is 17913997. The reversal of 17913980 is 8931971.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27539 + ... + 28181.

It is an arithmetic number, because the mean of its divisors is an integer number (901600).

Almost surely, 217913980 is an apocalyptic number.

17913980 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 17913980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21638400).

17913980 is an abundant number, since it is smaller than the sum of its proper divisors (25362820).

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

17913980 is a wasteful number, since it uses less digits than its factorization.

17913980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 17913980 is about 4232.4909923117. The cubic root of 17913980 is about 261.6559982308.

Subtracting from 17913980 its reverse (8931971), we obtain a square (8982009 = 29972).

The spelling of 17913980 in words is "seventeen million, nine hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 643 796 995 1286 1393 1990 2572 2786 3215 3980 4501 5572 6430 6965 9002 12860 13930 18004 22505 27860 45010 90020 127957 255914 511828 639785 895699 1279570 1791398 2559140 3582796 4478495 8956990 17913980