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16312320 = 21133559
BaseRepresentation
bin111110001110…
…100000000000
31010200202022000
4332032200000
513133443240
61341344000
7255436533
oct76164000
933622260
1016312320
119231762
125568000
1334c1a7b
142248a1a
151673430
hexf8e800

16312320 has 192 divisors, whose sum is σ = 58968000. Its totient is φ = 4276224.

The previous prime is 16312291. The next prime is 16312327. The reversal of 16312320 is 2321361.

16312320 is a `hidden beast` number, since 1 + 631 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16312293 and 16312302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276451 + ... + 276509.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 216312320 is an apocalyptic number.

16312320 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 16312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

16312320 is an abundant number, since it is smaller than the sum of its proper divisors (42655680).

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

16312320 is an equidigital number, since it uses as much as digits as its factorization.

16312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 16312320 is about 4038.8513218488. The cubic root of 16312320 is about 253.6132332621.

Adding to 16312320 its reverse (2321361), we get a palindrome (18633681).

The spelling of 16312320 in words is "sixteen million, three hundred twelve thousand, three hundred twenty".