Search a number
-
+
2079560 = 235721061
BaseRepresentation
bin111111011101101001000
310220122121202
413323231020
51013021220
6112323332
723450600
oct7735510
93818552
102079560
1111a044a
12843548
1357a712
143c1c00
152b1275
hex1fbb48

2079560 has 48 divisors (see below), whose sum is σ = 5448060. Its totient is φ = 712320.

The previous prime is 2079557. The next prime is 2079563. The reversal of 2079560 is 659702.

It is an interprime number because it is at equal distance from previous prime (2079557) and next prime (2079563).

It can be written as a sum of positive squares in 2 ways, for example, as 2079364 + 196 = 1442^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (2079563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1430 + ... + 2490.

22079560 is an apocalyptic number.

2079560 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 2079560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724030).

2079560 is an abundant number, since it is smaller than the sum of its proper divisors (3368500).

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

2079560 is a wasteful number, since it uses less digits than its factorization.

2079560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 2079560 is about 1442.0679595636. The cubic root of 2079560 is about 127.6410843748.

The spelling of 2079560 in words is "two million, seventy-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1061 1960 2122 4244 5305 7427 8488 10610 14854 21220 29708 37135 42440 51989 59416 74270 103978 148540 207956 259945 297080 415912 519890 1039780 2079560