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2068960 = 25567193
BaseRepresentation
bin111111001000111100000
310220010002011
413321013200
51012201320
6112202304
723404645
oct7710740
93803064
102068960
111193493
12839394
1357594a
143bbdcc
152ad05a
hex1f91e0

2068960 has 48 divisors (see below), whose sum is σ = 4986576. Its totient is φ = 811008.

The previous prime is 2068949. The next prime is 2068973. The reversal of 2068960 is 698602.

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, 10624 + ... + 10816.

It is an arithmetic number, because the mean of its divisors is an integer number (103887).

22068960 is an apocalyptic number.

2068960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493288).

2068960 is an abundant number, since it is smaller than the sum of its proper divisors (2917616).

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

2068960 is a wasteful number, since it uses less digits than its factorization.

2068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2068960 is about 1438.3879866017. The cubic root of 2068960 is about 127.4238427676.

The spelling of 2068960 in words is "two million, sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 193 268 335 386 536 670 772 965 1072 1340 1544 1930 2144 2680 3088 3860 5360 6176 7720 10720 12931 15440 25862 30880 51724 64655 103448 129310 206896 258620 413792 517240 1034480 2068960