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2075864 = 237191951
BaseRepresentation
bin111111010110011011000
310220110112212
413322303120
51012411424
6112254252
723434040
oct7726330
93813485
102075864
11119869a
12841388
13578b2b
143c0720
152b010e
hex1facd8

2075864 has 32 divisors (see below), whose sum is σ = 4684800. Its totient is φ = 842400.

The previous prime is 2075839. The next prime is 2075867. The reversal of 2075864 is 4685702.

It is a super-2 number, since 2×20758642 = 8618422692992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2075864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (146400).

22075864 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 2075864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342400).

2075864 is an abundant number, since it is smaller than the sum of its proper divisors (2608936).

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

2075864 is a wasteful number, since it uses less digits than its factorization.

2075864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2075864 is about 1440.7858966550. The cubic root of 2075864 is about 127.5654207391.

The spelling of 2075864 in words is "two million, seventy-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1951 3902 7804 13657 15608 27314 37069 54628 74138 109256 148276 259483 296552 518966 1037932 2075864