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2067296 = 25711839
BaseRepresentation
bin111111000101101100000
310220000210112
413320231200
51012123141
6112150452
723400050
oct7705540
93800715
102067296
111192210
12838428
13574c6a
143bb560
152ac7eb
hex1f8b60

2067296 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 804480.

The previous prime is 2067277. The next prime is 2067337. The reversal of 2067296 is 6927602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 2045 + ... + 2883.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22067296 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 2067296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2067296 is an abundant number, since it is smaller than the sum of its proper divisors (3013024).

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

2067296 is a wasteful number, since it uses less digits than its factorization.

2067296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 2067296 is about 1437.8094449544. The cubic root of 2067296 is about 127.3896725977.

The spelling of 2067296 in words is "two million, sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 839 1232 1678 2464 3356 5873 6712 9229 11746 13424 18458 23492 26848 36916 46984 64603 73832 93968 129206 147664 187936 258412 295328 516824 1033648 2067296