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17138940 = 22357134373
BaseRepresentation
bin100000101100…
…0010011111100
31012020202012120
41001120103330
513341421230
61411202540
7265451520
oct101302374
935222176
1017138940
119746815
1258a6450
1337210b0
1423c1d80
151788310
hex10584fc

17138940 has 192 divisors, whose sum is σ = 61264896. Its totient is φ = 3483648.

The previous prime is 17138923. The next prime is 17138959. The reversal of 17138940 is 4983171.

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 63 ways as a sum of consecutive naturals, for example, 234744 + ... + 234816.

It is an arithmetic number, because the mean of its divisors is an integer number (319088).

Almost surely, 217138940 is an apocalyptic number.

17138940 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 17138940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30632448).

17138940 is an abundant number, since it is smaller than the sum of its proper divisors (44125956).

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

17138940 is a wasteful number, since it uses less digits than its factorization.

17138940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 17138940 is about 4139.9202890877. The cubic root of 17138940 is about 257.8267570812.

The spelling of 17138940 in words is "seventeen million, one hundred thirty-eight thousand, nine hundred forty".