Search a number
-
+
2105879840 = 255107123007
BaseRepresentation
bin111110110000101…
…0010110100100000
312102202120210001122
41331201102310200
513303101123330
6544544151412
7103120453241
oct17541226440
95382523048
102105879840
11990794769
124a9308568
1327739925c
1415d97acc8
15c4d295e5
hex7d852d20

2105879840 has 48 divisors (see below), whose sum is σ = 5021678592. Its totient is φ = 834472704.

The previous prime is 2105879833. The next prime is 2105879873. The reversal of 2105879840 is 489785012.

It is a junction number, because it is equal to n+sod(n) for n = 2105879791 and 2105879800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44384 + ... + 78623.

It is an arithmetic number, because the mean of its divisors is an integer number (104618304).

Almost surely, 22105879840 is an apocalyptic number.

2105879840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105879840 is an abundant number, since it is smaller than the sum of its proper divisors (2915798752).

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

2105879840 is a wasteful number, since it uses less digits than its factorization.

2105879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123129 (or 123121 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 2105879840 is about 45889.8664195049. The cubic root of 2105879840 is about 1281.7732259514.

The spelling of 2105879840 in words is "two billion, one hundred five million, eight hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120 123007 246014 492028 615035 984056 1230070 1968112 2460140 3936224 4920280 9840560 13161749 19681120 26323498 52646996 65808745 105293992 131617490 210587984 263234980 421175968 526469960 1052939920 2105879840