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2096080 = 245719197
BaseRepresentation
bin111111111101111010000
310221111021121
413333233100
51014033310
6112532024
723550010
oct7775720
93844247
102096080
1112018a8
12851014
135850ac
143c7c40
152b60da
hex1ffbd0

2096080 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 677376.

The previous prime is 2096071. The next prime is 2096089. The reversal of 2096080 is 806902.

2096080 = 862 + 872 + ... + 1902.

It is an interprime number because it is at equal distance from previous prime (2096071) and next prime (2096089).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096089) 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, 10542 + ... + 10738.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

22096080 is an apocalyptic number.

2096080 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 2096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2096080 is an abundant number, since it is smaller than the sum of its proper divisors (3796400).

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

2096080 is a wasteful number, since it uses less digits than its factorization.

2096080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2096080 is about 1447.7845143529. The cubic root of 2096080 is about 127.9781863869.

It can be divided in two parts, 20 and 96080, that added together give a square (96100 = 3102).

The spelling of 2096080 in words is "two million, ninety-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 197 266 280 304 380 394 532 560 665 760 788 985 1064 1330 1379 1520 1576 1970 2128 2660 2758 3152 3743 3940 5320 5516 6895 7486 7880 10640 11032 13790 14972 15760 18715 22064 26201 27580 29944 37430 52402 55160 59888 74860 104804 110320 131005 149720 209608 262010 299440 419216 524020 1048040 2096080