Search a number
-
+
2856840 = 2335719179
BaseRepresentation
bin1010111001011110001000
312101010211220
422321132020
51212404330
6141122040
733165660
oct12713610
95333756
102856840
111681428
12b59320
1379044c
145451a0
153b6710
hex2b9788

2856840 has 128 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 615168.

The previous prime is 2856823. The next prime is 2856857. The reversal of 2856840 is 486582.

2856840 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2856823) and next prime (2856857).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15871 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

22856840 is an apocalyptic number.

2856840 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 2856840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

2856840 is an abundant number, since it is smaller than the sum of its proper divisors (7511160).

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

2856840 is a wasteful number, since it uses less digits than its factorization.

2856840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2856840 is about 1690.2189207319. The cubic root of 2856840 is about 141.8933272785.

The spelling of 2856840 in words is "two million, eight hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 179 190 210 228 266 280 285 358 380 399 420 456 532 537 570 665 716 760 798 840 895 1064 1074 1140 1253 1330 1432 1596 1790 1995 2148 2280 2506 2660 2685 3192 3401 3580 3759 3990 4296 5012 5320 5370 6265 6802 7160 7518 7980 10024 10203 10740 12530 13604 15036 15960 17005 18795 20406 21480 23807 25060 27208 30072 34010 37590 40812 47614 50120 51015 68020 71421 75180 81624 95228 102030 119035 136040 142842 150360 190456 204060 238070 285684 357105 408120 476140 571368 714210 952280 1428420 2856840