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2116576 = 25711859
BaseRepresentation
bin1000000100101111100000
310222112101201
420010233200
51020212301
6113210544
723663530
oct10045740
93875351
102116576
111216240
12860a54
13591517
143d14c0
152bc201
hex204be0

2116576 has 48 divisors (see below), whose sum is σ = 5201280. Its totient is φ = 823680.

The previous prime is 2116573. The next prime is 2116577. The reversal of 2116576 is 6756112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2035 + ... + 2893.

It is an arithmetic number, because the mean of its divisors is an integer number (108360).

22116576 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 2116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600640).

2116576 is an abundant number, since it is smaller than the sum of its proper divisors (3084704).

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

2116576 is a wasteful number, since it uses less digits than its factorization.

2116576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 879 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 2116576 is about 1454.8456962853. The cubic root of 2116576 is about 128.3939684605.

It can be divided in two parts, 2116 and 576, that multiplied together give a square (1218816 = 11042).

The spelling of 2116576 in words is "two million, one hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 859 1232 1718 2464 3436 6013 6872 9449 12026 13744 18898 24052 27488 37796 48104 66143 75592 96208 132286 151184 192416 264572 302368 529144 1058288 2116576