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2868840 = 2332513613
BaseRepresentation
bin1010111100011001101000
312101202022100
422330121220
51213300330
6141253400
733245652
oct12743150
95352270
102868840
11168a447
12b64260
13795a50
145496d2
153ba060
hex2bc668

2868840 has 96 divisors (see below), whose sum is σ = 10057320. Its totient is φ = 705024.

The previous prime is 2868823. The next prime is 2868851. The reversal of 2868840 is 488682.

2868840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 2090916 = 882^2 + 1446^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2868795 and 2868804.

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 23 ways as a sum of consecutive naturals, for example, 4374 + ... + 4986.

22868840 is an apocalyptic number.

2868840 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 2868840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028660).

2868840 is an abundant number, since it is smaller than the sum of its proper divisors (7188480).

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

2868840 is a wasteful number, since it uses less digits than its factorization.

2868840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2868840 is about 1693.7650368336. The cubic root of 2868840 is about 142.0917214733.

The spelling of 2868840 in words is "two million, eight hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 613 780 936 1170 1226 1560 1839 2340 2452 3065 3678 4680 4904 5517 6130 7356 7969 9195 11034 12260 14712 15938 18390 22068 23907 24520 27585 31876 36780 39845 44136 47814 55170 63752 71721 73560 79690 95628 110340 119535 143442 159380 191256 220680 239070 286884 318760 358605 478140 573768 717210 956280 1434420 2868840