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2165020 = 2251113757
BaseRepresentation
bin1000010000100100011100
311001222211221
420100210130
51023240040
6114223124
724255004
oct10204434
94058757
102165020
111249680
12884aa4
135aa5a0
14405004
152cb74a
hex21091c

2165020 has 48 divisors (see below), whose sum is σ = 5348448. Its totient is φ = 725760.

The previous prime is 2165017. The next prime is 2165027. The reversal of 2165020 is 205612.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2164985 and 2165003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482 + ... + 3238.

It is an arithmetic number, because the mean of its divisors is an integer number (111426).

22165020 is an apocalyptic number.

2165020 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 2165020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674224).

2165020 is an abundant number, since it is smaller than the sum of its proper divisors (3183428).

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

2165020 is a wasteful number, since it uses less digits than its factorization.

2165020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2165020 is about 1471.4006932172. The cubic root of 2165020 is about 129.3661452395.

The spelling of 2165020 in words is "two million, one hundred sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 757 1430 1514 2860 3028 3785 7570 8327 9841 15140 16654 19682 33308 39364 41635 49205 83270 98410 108251 166540 196820 216502 433004 541255 1082510 2165020