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2116296 = 23327131719
BaseRepresentation
bin1000000100101011001000
310222112000100
420010223020
51020210141
6113205400
723662650
oct10045310
93875010
102116296
111216006
12860860
13591360
143d1360
152bc0b6
hex204ac8

2116296 has 192 divisors, whose sum is σ = 7862400. Its totient is φ = 497664.

The previous prime is 2116291. The next prime is 2116307. The reversal of 2116296 is 6926112.

2116296 = T85 + T86 + ... + T236.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111375 + ... + 111393.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

22116296 is an apocalyptic number.

2116296 is a gapful number since it is divisible by the number (26) 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 2116296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2116296 is an abundant number, since it is smaller than the sum of its proper divisors (5746104).

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

2116296 is a wasteful number, since it uses less digits than its factorization.

2116296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 61 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2116296 is about 1454.7494629660. The cubic root of 2116296 is about 128.3883065020.

The spelling of 2116296 in words is "two million, one hundred sixteen thousand, two hundred ninety-six".