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2916112 = 241771151
BaseRepresentation
bin1011000111111100010000
312111011011011
423013330100
51221303422
6142300304
733533533
oct13077420
95434134
102916112
111711a11
12b87694
137b1414
1455ca1a
153c9077
hex2c7f10

2916112 has 40 divisors (see below), whose sum is σ = 6106752. Its totient is φ = 1344000.

The previous prime is 2916107. The next prime is 2916119. The reversal of 2916112 is 2116192.

2916112 is nontrivially palindromic in base 7.

2916112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2916119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19237 + ... + 19387.

22916112 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 2916112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376).

2916112 is an abundant number, since it is smaller than the sum of its proper divisors (3190640).

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

2916112 is a wasteful number, since it uses less digits than its factorization.

2916112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

The square root of 2916112 is about 1707.6627301666. The cubic root of 2916112 is about 142.8679237578.

The spelling of 2916112 in words is "two million, nine hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 151 272 284 302 568 604 1136 1207 1208 2414 2416 2567 4828 5134 9656 10268 10721 19312 20536 21442 41072 42884 85768 171536 182257 364514 729028 1458056 2916112