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2867940 = 2233547113
BaseRepresentation
bin1010111100001011100100
312101201002000
422330023210
51213233230
6141245300
733243225
oct12741344
95351060
102867940
1116897a9
12b63830
1379550a
1454924c
153b9b60
hex2bc2e4

2867940 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 741888.

The previous prime is 2867933. The next prime is 2867941. The reversal of 2867940 is 497682.

2867940 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 junction number, because it is equal to n+sod(n) for n = 2867895 and 2867904.

It is not an unprimeable number, because it can be changed into a prime (2867941) 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 31 ways as a sum of consecutive naturals, for example, 25324 + ... + 25436.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22867940 is an apocalyptic number.

2867940 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 2867940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2867940 is an abundant number, since it is smaller than the sum of its proper divisors (6325020).

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

2867940 is a wasteful number, since it uses less digits than its factorization.

2867940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2867940 is about 1693.4993356952. The cubic root of 2867940 is about 142.0768611204.

The spelling of 2867940 in words is "two million, eight hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 113 135 141 180 188 226 235 270 282 339 423 452 470 540 564 565 678 705 846 940 1017 1130 1269 1356 1410 1692 1695 2034 2115 2260 2538 2820 3051 3390 4068 4230 5076 5085 5311 6102 6345 6780 8460 10170 10622 12204 12690 15255 15933 20340 21244 25380 26555 30510 31866 47799 53110 61020 63732 79665 95598 106220 143397 159330 191196 238995 286794 318660 477990 573588 716985 955980 1433970 2867940