Search a number
-
+
16371968 = 28312063
BaseRepresentation
bin111110011101…
…000100000000
31010210210010012
4332131010000
513142400333
61342524052
7256105454
oct76350400
933723105
1016371968
119272558
125596628
133512c72
142262664
151685e48
hexf9d100

16371968 has 36 divisors (see below), whose sum is σ = 33750528. Its totient is φ = 7918080.

The previous prime is 16371967. The next prime is 16371983. The reversal of 16371968 is 86917361.

It is not an unprimeable number, because it can be changed into a prime (16371967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6905 + ... + 8967.

Almost surely, 216371968 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 16371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875264).

16371968 is an abundant number, since it is smaller than the sum of its proper divisors (17378560).

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

16371968 is an equidigital number, since it uses as much as digits as its factorization.

16371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2096 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 16371968 is about 4046.2288615450. The cubic root of 16371968 is about 253.9219798813.

The spelling of 16371968 in words is "sixteen million, three hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 2063 3968 4126 7936 8252 16504 33008 63953 66016 127906 132032 255812 264064 511624 528128 1023248 2046496 4092992 8185984 16371968