[go: up one dir, main page]

Search a number
-
+
2873880 = 23345887
BaseRepresentation
bin1010111101101000011000
312102000020000
422331220120
51213431010
6141333000
733266442
oct12755030
95360200
102873880
111693209
12b67160
13798129
1454b492
153bb7c0
hex2bda18

2873880 has 80 divisors (see below), whose sum is σ = 9670320. Its totient is φ = 765504.

The previous prime is 2873879. The next prime is 2873887. The reversal of 2873880 is 883782.

2873880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2797 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (120879).

22873880 is an apocalyptic number.

2873880 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 2873880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835160).

2873880 is an abundant number, since it is smaller than the sum of its proper divisors (6796440).

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

2873880 is a wasteful number, since it uses less digits than its factorization.

2873880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2873880 is about 1695.2521936278. The cubic root of 2873880 is about 142.1748820667.

The spelling of 2873880 in words is "two million, eight hundred seventy-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 887 1080 1620 1774 2661 3240 3548 4435 5322 7096 7983 8870 10644 13305 15966 17740 21288 23949 26610 31932 35480 39915 47898 53220 63864 71847 79830 95796 106440 119745 143694 159660 191592 239490 287388 319320 359235 478980 574776 718470 957960 1436940 2873880