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2075688 = 2332127227
BaseRepresentation
bin111111010110000101000
310220110022100
413322300220
51012410223
6112253400
723433366
oct7726050
93813270
102075688
11119854a
12841260
13578a24
143c0636
152b0043
hex1fac28

2075688 has 48 divisors (see below), whose sum is σ = 5690880. Its totient is φ = 683424.

The previous prime is 2075677. The next prime is 2075699. The reversal of 2075688 is 8865702.

It is an interprime number because it is at equal distance from previous prime (2075677) and next prime (2075699).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 9031 + ... + 9257.

It is an arithmetic number, because the mean of its divisors is an integer number (118560).

22075688 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 2075688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845440).

2075688 is an abundant number, since it is smaller than the sum of its proper divisors (3615192).

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

2075688 is a wasteful number, since it uses less digits than its factorization.

2075688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2075688 is about 1440.7248175831. The cubic root of 2075688 is about 127.5618154694.

The spelling of 2075688 in words is "two million, seventy-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 227 254 381 454 508 681 762 908 1016 1143 1362 1524 1816 2043 2286 2724 3048 4086 4572 5448 8172 9144 16344 28829 57658 86487 115316 172974 230632 259461 345948 518922 691896 1037844 2075688