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2686976 = 21641
BaseRepresentation
bin1010010000000000000000
312001111211122
422100000000
51141440401
6133331412
731560515
oct12200000
95044748
102686976
111575846
12a96b68
13731036
144dd30c
1538121b
hex290000

2686976 has 34 divisors (see below), whose sum is σ = 5504982. Its totient is φ = 1310720.

The previous prime is 2686973. The next prime is 2686979. The reversal of 2686976 is 6796862.

It is an interprime number because it is at equal distance from previous prime (2686973) and next prime (2686979).

It can be written as a sum of positive squares in only one way, i.e., 1638400 + 1048576 = 1280^2 + 1024^2 .

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65516 + ... + 65556.

22686976 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 2686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752491).

2686976 is an abundant number, since it is smaller than the sum of its proper divisors (2818006).

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

2686976 is an frugal number, since it uses more digits than its factorization.

2686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 43 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 2686976 is about 1639.1998047828. The cubic root of 2686976 is about 139.0234075446.

The spelling of 2686976 in words is "two million, six hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 4096 5248 8192 10496 16384 20992 32768 41984 65536 83968 167936 335872 671744 1343488 2686976