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2065960 = 2351329137
BaseRepresentation
bin111111000011000101000
310212221222001
413320120220
51012102320
6112140344
723363131
oct7703050
93787861
102065960
111191206
128376b4
13574480
143bac88
152ac20a
hex1f8628

2065960 has 64 divisors (see below), whose sum is σ = 5216400. Its totient is φ = 731136.

The previous prime is 2065937. The next prime is 2065961. The reversal of 2065960 is 695602.

It can be written as a sum of positive squares in 8 ways, for example, as 611524 + 1454436 = 782^2 + 1206^2 .

It is not an unprimeable number, because it can be changed into a prime (2065961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15012 + ... + 15148.

22065960 is an apocalyptic number.

2065960 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 2065960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608200).

2065960 is an abundant number, since it is smaller than the sum of its proper divisors (3150440).

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

2065960 is a wasteful number, since it uses less digits than its factorization.

2065960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 2065960 is about 1437.3447742278. The cubic root of 2065960 is about 127.3622246209.

It can be divided in two parts, 2065 and 960, that added together give a square (3025 = 552).

The spelling of 2065960 in words is "two million, sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 137 145 232 260 274 290 377 520 548 580 685 754 1096 1160 1370 1508 1781 1885 2740 3016 3562 3770 3973 5480 7124 7540 7946 8905 14248 15080 15892 17810 19865 31784 35620 39730 51649 71240 79460 103298 158920 206596 258245 413192 516490 1032980 2065960