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16985430 = 23357111943
BaseRepresentation
bin100000011001…
…0110101010110
31011221221122000
41000302311112
513322013210
61404020130
7264242130
oct100626526
934857560
1016985430
119651450
125831646
133699267
142382050
151757ac0
hex1032d56

16985430 has 256 divisors, whose sum is σ = 60825600. Its totient is φ = 3265920.

The previous prime is 16985429. The next prime is 16985443. The reversal of 16985430 is 3458961.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

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 127 ways as a sum of consecutive naturals, for example, 394989 + ... + 395031.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 216985430 is an apocalyptic number.

16985430 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 16985430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412800).

16985430 is an abundant number, since it is smaller than the sum of its proper divisors (43840170).

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

16985430 is a wasteful number, since it uses less digits than its factorization.

16985430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 16985430 is about 4121.3383748486. The cubic root of 16985430 is about 257.0546800841.

The spelling of 16985430 in words is "sixteen million, nine hundred eighty-five thousand, four hundred thirty".