Search a number
-
+
16132016 = 242359743
BaseRepresentation
bin111101100010…
…011110110000
31010100120222002
4331202132300
513112211031
61333433132
7254056055
oct75423660
933316862
1016132016
11911924a
12549b7a8
13345a994
1421dd02c
151639ccb
hexf627b0

16132016 has 40 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 7574336.

The previous prime is 16131989. The next prime is 16132019. The reversal of 16132016 is 61023161.

It is not an unprimeable number, because it can be changed into a prime (16132019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21341 + ... + 22083.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 216132016 is an apocalyptic number.

16132016 is a gapful number since it is divisible by the number (16) 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 16132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

16132016 is an abundant number, since it is smaller than the sum of its proper divisors (17080144).

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

16132016 is a wasteful number, since it uses less digits than its factorization.

16132016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 16132016 is about 4016.4681002094. The cubic root of 16132016 is about 252.6753531481.

Adding to 16132016 its reverse (61023161), we get a palindrome (77155177).

The spelling of 16132016 in words is "sixteen million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 743 944 1357 1486 2714 2972 5428 5944 10856 11888 17089 21712 34178 43837 68356 87674 136712 175348 273424 350696 701392 1008251 2016502 4033004 8066008 16132016