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2068920 = 233257821
BaseRepresentation
bin111111001000110111000
310220010000200
413321012320
51012201140
6112202200
723404560
oct7710670
93803020
102068920
111193457
12839360
13575919
143bbda0
152ad030
hex1f91b8

2068920 has 96 divisors (see below), whose sum is σ = 7693920. Its totient is φ = 472320.

The previous prime is 2068903. The next prime is 2068921. The reversal of 2068920 is 298602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110 + ... + 2930.

It is an arithmetic number, because the mean of its divisors is an integer number (80145).

22068920 is an apocalyptic number.

2068920 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 2068920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846960).

2068920 is an abundant number, since it is smaller than the sum of its proper divisors (5625000).

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

2068920 is a wasteful number, since it uses less digits than its factorization.

2068920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2068920 is about 1438.3740820802. The cubic root of 2068920 is about 127.4230215842.

The spelling of 2068920 in words is "two million, sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 821 840 1260 1642 2463 2520 3284 4105 4926 5747 6568 7389 8210 9852 11494 12315 14778 16420 17241 19704 22988 24630 28735 29556 32840 34482 36945 45976 49260 51723 57470 59112 68964 73890 86205 98520 103446 114940 137928 147780 172410 206892 229880 258615 295560 344820 413784 517230 689640 1034460 2068920