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2068740 = 223451277
BaseRepresentation
bin111111001000100000100
310220002210000
413321010010
51012144430
6112201300
723404212
oct7710404
93802700
102068740
111193303
12839230
1357580b
143bbcb2
152ace60
hex1f9104

2068740 has 60 divisors (see below), whose sum is σ = 6494796. Its totient is φ = 551232.

The previous prime is 2068709. The next prime is 2068741. The reversal of 2068740 is 478602.

It can be written as a sum of positive squares in 2 ways, for example, as 1052676 + 1016064 = 1026^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2068741) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 982 + ... + 2258.

22068740 is an apocalyptic number.

2068740 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 2068740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247398).

2068740 is an abundant number, since it is smaller than the sum of its proper divisors (4426056).

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

2068740 is a wasteful number, since it uses less digits than its factorization.

2068740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2068740 is about 1438.3115100701. The cubic root of 2068740 is about 127.4193261281.

The spelling of 2068740 in words is "two million, sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1277 1620 2554 3831 5108 6385 7662 11493 12770 15324 19155 22986 25540 34479 38310 45972 57465 68958 76620 103437 114930 137916 172395 206874 229860 344790 413748 517185 689580 1034370 2068740