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16923816 = 2334721341
BaseRepresentation
bin100000010001…
…1110010101000
31011211211010000
41000203302220
513313030231
61402423000
7263564400
oct100436250
934754100
1016923816
11960a128
125801a60
1336771c0
142367800
1517446e6
hex1023ca8

16923816 has 240 divisors, whose sum is σ = 60831540. Its totient is φ = 4354560.

The previous prime is 16923793. The next prime is 16923817. The reversal of 16923816 is 61832961.

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 3572100 = 3654^2 + 1890^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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

It is not an unprimeable number, because it can be changed into a prime (16923817) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412756 + ... + 412796.

Almost surely, 216923816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16923816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30415770).

16923816 is an abundant number, since it is smaller than the sum of its proper divisors (43907724).

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

16923816 is a wasteful number, since it uses less digits than its factorization.

16923816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16923816 is about 4113.8565847633. The cubic root of 16923816 is about 256.7434848120.

The spelling of 16923816 in words is "sixteen million, nine hundred twenty-three thousand, eight hundred sixteen".