Search a number
-
+
2065720 = 235431201
BaseRepresentation
bin111111000010100111000
310212221122011
413320110320
51012100340
6112135304
723362336
oct7702470
93787564
102065720
111191008
12837534
13574327
143bab56
152ac0ea
hex1f8538

2065720 has 32 divisors (see below), whose sum is σ = 4759920. Its totient is φ = 806400.

The previous prime is 2065717. The next prime is 2065727. The reversal of 2065720 is 275602.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2065691 and 2065700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065727) by changing a digit.

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, 1120 + ... + 2320.

22065720 is an apocalyptic number.

2065720 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 2065720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379960).

2065720 is an abundant number, since it is smaller than the sum of its proper divisors (2694200).

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

2065720 is a wasteful number, since it uses less digits than its factorization.

2065720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2065720 is about 1437.2612845269. The cubic root of 2065720 is about 127.3572925929.

The spelling of 2065720 in words is "two million, sixty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1201 1720 2402 4804 6005 9608 12010 24020 48040 51643 103286 206572 258215 413144 516430 1032860 2065720