Search a number
-
+
2040768 = 26331181
BaseRepresentation
bin111110010001111000000
310211200102000
413302033000
51010301033
6111424000
723226522
oct7621700
93750360
102040768
111174294
12825000
13565b72
143b1a12
152a4a13
hex1f23c0

2040768 has 56 divisors (see below), whose sum is σ = 6004560. Its totient is φ = 679680.

The previous prime is 2040749. The next prime is 2040769. The reversal of 2040768 is 8670402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138 + ... + 2318.

22040768 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 2040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002280).

2040768 is an abundant number, since it is smaller than the sum of its proper divisors (3963792).

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

2040768 is a wasteful number, since it uses less digits than its factorization.

2040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1186 counting only the distinct ones).

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

The square root of 2040768 is about 1428.5545141856. The cubic root of 2040768 is about 126.8424275950.

The spelling of 2040768 in words is "two million, forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1181 1728 2362 3543 4724 7086 9448 10629 14172 18896 21258 28344 31887 37792 42516 56688 63774 75584 85032 113376 127548 170064 226752 255096 340128 510192 680256 1020384 2040768