Search a number
-
+
16296840 = 23325729223
BaseRepresentation
bin111110001010…
…101110001000
31010122222001200
4332022232020
513132444330
61341144200
7255343440
oct76125610
933588050
1016296840
11922106a
12555b060
1334b7a01
142243120
15166da60
hexf8ab88

16296840 has 192 divisors, whose sum is σ = 62899200. Its totient is φ = 3580416.

The previous prime is 16296823. The next prime is 16296877. The reversal of 16296840 is 4869261.

16296840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 16296795 and 16296804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72969 + ... + 73191.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 216296840 is an apocalyptic number.

16296840 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 16296840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

16296840 is an abundant number, since it is smaller than the sum of its proper divisors (46602360).

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

16296840 is a wasteful number, since it uses less digits than its factorization.

16296840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16296840 is about 4036.9344805186. The cubic root of 16296840 is about 253.5329835821.

The spelling of 16296840 in words is "sixteen million, two hundred ninety-six thousand, eight hundred forty".