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16992000 = 28325359
BaseRepresentation
bin100000011010…
…0011100000000
31011222021122100
41000310130000
513322221000
61404110400
7264300234
oct100643400
934867570
1016992000
119656383
125835400
13369c24c
1423845c4
151759a00
hex1034700

16992000 has 216 divisors, whose sum is σ = 62178480. Its totient is φ = 4454400.

The previous prime is 16991951. The next prime is 16992007. The reversal of 16992000 is 29961.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16992007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287971 + ... + 288029.

Almost surely, 216992000 is an apocalyptic number.

16992000 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 16992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089240).

16992000 is an abundant number, since it is smaller than the sum of its proper divisors (45186480).

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

16992000 is an equidigital number, since it uses as much as digits as its factorization.

16992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 16992000 is about 4122.1353689562. The cubic root of 16992000 is about 257.0878189084.

It can be divided in two parts, 16 and 992000, that added together give a square (992016 = 9962).

The spelling of 16992000 in words is "sixteen million, nine hundred ninety-two thousand".