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2066040 = 233351913
BaseRepresentation
bin111111000011001111000
310212222002000
413320121320
51012103130
6112141000
723363304
oct7703170
93788060
102066040
111191279
12837760
13574512
143bad04
152ac260
hex1f8678

2066040 has 64 divisors (see below), whose sum is σ = 6890400. Its totient is φ = 550656.

The previous prime is 2066033. The next prime is 2066059. The reversal of 2066040 is 406602.

2066040 is a `hidden beast` number, since 2 + 0 + 660 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 2036.

22066040 is an apocalyptic number.

2066040 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 2066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445200).

2066040 is an abundant number, since it is smaller than the sum of its proper divisors (4824360).

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

2066040 is a wasteful number, since it uses less digits than its factorization.

2066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2066040 is about 1437.3726030504. The cubic root of 2066040 is about 127.3638685453.

The spelling of 2066040 in words is "two million, sixty-six thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1913 3826 5739 7652 9565 11478 15304 17217 19130 22956 28695 34434 38260 45912 51651 57390 68868 76520 86085 103302 114780 137736 172170 206604 229560 258255 344340 413208 516510 688680 1033020 2066040